# Ngô Quốc Anh

### Publications

Papers are listed in year of acceptance before they are published, or year of publication. Electronic versions of the following published articles are protected by the copyright. The presence of them means that they are for non-commercial use.

Publications

2016 (Σ = 38, = 15, = 11)

1. Q.A. Ngo, Einstein constraint equations on Riemannian manifolds. Geometric analysis around scalar curvatures, 119-210. Lect. Notes Ser. Inst. Math. Sci. Natl. Univ. Singap., 31, World Sci. Publ., Hackensack, NJ, 2016.
http://dx.doi.org/10.1142/9789813100558_0003
[Lecture notes used here, a draft version is available here.]
2.    Q.A. Ngo, V.H. Nguyen, Sharp reversed Hardy-Littlewood-Sobolev inequality on $\mathbb R^n$, to appear in Israel Journal of Mathematics.
http://www.ma.huji.ac.il/~ijmath/
3. Q.A. Ngo, V.H. Nguyen, Sharp reversed Hardy-Littlewood-Sobolev inequality on the half space $\mathbb R_+^n$, to appear in International Mathematics Research Notices (IMRN).
http://dx.doi.org/10.1093/imrn/rnw108
4. T.V. Duoc, Q.A. Ngo, On radial solutions of $\Delta^2 u + u^{-q} = 0$ in $\mathbb R^3$ with exactly quadratic growth at infinity, to appear in Differential and Integral Equations.
https://projecteuclid.org/euclid.die

2015 (Σ = 35, = 15, = 09)

1.   Q.A. Ngo, X. Xu, Existence results for the Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds in the null case, Communications in Mathematical Physics 334 (2015), pp. 193-222.
http://dx.doi.org/10.1007/s00220-014-2133-7
2.   Q.A. Ngo, H. Zhang, Prescribed Webster scalar curvature on compact CR manifolds with negative conformal invariants, Journal of Differential Equations 258 (2015), pp. 4443-4490.
http://dx.doi.org/10.1016/j.jde.2015.01.040

2014 (Σ = 33, = 13, = 9)

1.   V.N. Huy, Q.A. Ngo, A new Ostrowski-Gruss inequality involving $3n$ knots, Appl. Math. Comput. 235 (2014), pp. 272-282.
http://dx.doi.org/10.1016/j.amc.2014.02.090
2. Q.A. Ngo, X. Xu, Existence results for the Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds in the positive case,  Bull. Inst. Math. Acad. Sin. (N.S.) 9 (2014), pp. 451-485.
http://web.math.sinica.edu.tw/bulletin/archives_articlecontent16.jsp?bid=MjAxNDMwNw==
[This is the fourth and last part of the special issue in the Bulletin dedicated to Prof. Trudinger on the occasion of his 70th birthday, edited by Sun-Yung Alice Chang, Nicola Fusco, Tai-Ping Liu, and Alan McIntosh.]
3. R. Gicquaud, Q.A. Ngo, A new point of view on the solutions to the Einstein constraint equations with arbitrary mean curvature and small TT-tensor, Class. Quantum Grav. 31 (2014), 195014 (20pp).
http://dx.doi.org/10.1088/0264-9381/31/19/195014

2013 (Σ = 30, = 12, = 8)

1. V.N. Huy, Q.A. Ngo, Some new results on the Fejér and Hermite-Hadamard inequalities, Rocky Mountain J. Math. 43 (2013), pp. 1625-1636.
http://dx.doi.org/10.1216/RMJ-2013-43-5-1625

2012 (Σ = 29, = 11, = 8)

1. Q.A. Ngo, X. Xu, Existence results for the Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds, Advances in Mathematics 230 (2012), pp. 2378-2415.
http://dx.doi.org/10.1016/j.aim.2012.04.007

2011 (Σ = 28, = 11, = 7)

1. V.N. Huy, Q.A. Ngo, New bounds for the Ostrowski-like type inequalities, Bull. Korean Math. Soc. 48 (2011), pp. 95-104.
http://dx.doi.org/10.4134/BKMS.2011.48.1.095

2010 (Σ = 27, = 10, = 7)

1. W.J. Liu, Q.A. Ngo, An Ostrowski type inequality on time scales for functions whose second derivatives are bounded, Inequality Theory and Applications Vol. 6, Nova Science Pub Inc, 2010, pp. 133-141 . ISBN: 978-1616686253.
https://www.novapublishers.com/catalog/product_info.php?products_id=13293
2. V.N. Huy, Q.A. Ngo, On an Iyengar-type inequality involving quadratures in $n$ knots, Appl. Math. Comput. 217 (2010), pp. 289-294.
http://dx.doi.org/10.1016/j.amc.2010.05.060
3. W.J. Liu, Q.A. Ngo, Some Iyengar-type inequalities on time scales for functions whose second derivatives are bounded, Appl. Math. Comput. 216 (2010), pp. 3244-3251.
http://dx.doi.org/10.1016/j.amc.2010.04.049
4. V.N. Huy, Q.A. Ngo, New inequalities of Simpson-like type involving $n$ knots and the $m$-th derivative, Math. Comput. Modelling 52 (2010), pp. 522-528.
http://dx.doi.org/10.1016/j.mcm.2010.03.049
5. V.N. Huy, Q.A. Ngo, A new way to think about Ostrowski-like type inequalities, Comput. Math. Appl. 59 (2010), pp. 3045-3052.
http://dx.doi.org/10.1016/j.camwa.2010.02.024
6. W.J. Liu, Q.A. Ngo, W.B. Chen, On new Ostrowski type inequalities for double integrals on time scales, Dynam. Systems Appl. 19 (2010), pp. 189-198.
http://www.dynamicpublishers.com/dynamic.htm
7. N.T. Chung, Q.A. Ngo, Multiple solutions for a class of quasilinear elliptic equations of $p(x)$-Laplacian type with nonlinear boundary conditions, Proc. Roy. Soc. Edinburgh Sect. A 140 (2010), pp. 259-272.
http://dx.doi.org/10.1017/S030821050800070X
8. W.J. Liu, Q.A. Ngo, W.B. Chen, Ostrowski type inequalities on time scales for double integrals, Acta Appl. Math. 110 (2010), pp. 477-497.
http://dx.doi.org/10.1007/s10440-009-9456-y

2009 (Σ =19, = 6, = 4)

1. W.J. Liu, Q.A. Ngo, W.B. Chen, A new generalization of Ostrowski type inequality on time scales, An. Ştiinţ. Univ. “Ovidius” Constanţa Ser. Mat. 17 (2009), pp. 101-114.
http://www.anstuocmath.ro/volume-xvii-2009-fascicola-2
2. W.J. Liu, Q.A. Ngo, An Ostrowski-Gruss type inequality on time scales, Comput. Math. Appl. 58 (2009), pp. 1207-1210.
http://dx.doi.org/10.1016/j.camwa.2009.07.027
3. N.T. Chung, Q.A. Ngo, A multiplicity result for a class of equations of $p$-Laplacian type with sign-changing nonlinearities, Glasgow Math. J. 51 (2009), pp. 513-524.
http://dx.doi.org/10.1017/S001708950900514X
4. H.Q. Toan and Q.-A. Ngo, Existence of positive solution for system of quasilinear elliptic systems on a bounded domain, World J. Model. Simul. 5 (2009), pp. 211-215.
http://www.wjms.org.uk
5. W.J. Liu, Q.A. Ngo, V.N. Huy, Several interesting integral inequalities, J. Math. Inequal. 3 (2009), pp. 201–212.
http://dx.doi.org/10.7153/jmi-03-20
6. V.N. Huy, Q.A. Ngo, New inequalities of Ostrowski-like type involving $n$ knots and the $L^p$-norm of the $m$-th derivative, Appl. Math. Lett. 22 (2009), pp. 1345-1350.
http://dx.doi.org/10.1016/j.aml.2009.03.002
7. Q.A. Ngo, Some mean value theorems for integrals on time scales, Appl. Math. Comput. 213 (2009), pp. 322-328.
http://dx.doi.org/10.1016/j.amc.2009.03.025
8. Q.A. Ngo, H.Q. Toan, Some remarks on a class of nonuniformly elliptic equations of $p$-Laplacian type, Acta Appl. Math. 106 (2009), pp. 229–239.
http://dx.doi.org/10.1007/s10440-008-9291-6
9. Q.A. Ngo, Existence results for a class of non-uniformly elliptic equations of $p$-Laplacian type, Anal. Appl. (Singap.) 7 (2009), pp. 185-197
http://dx.doi.org/10.1142/S0219530509001323
10. Q.A. Ngo, W.J. Liu, A sharp Gruss type inequality on time scales and application to the sharp Ostrowski-Gruss inequality, Commun. Math. Anal. 6 (2009), pp. 33-41.
http://www.math-res-pub.org/cma/6/2/sharp-gr%C3%BCss-type-inequality-time-scales-and-application-sharp-ostrowski-gr%C3%BCss-inequality
11. H.Q. Toan, Q.A. Ngo, Multiplicity of weak solutions for a class of nonuniformly elliptic equations of $p$-Laplacian type, Nonlinear Anal. 70 (2009), pp. 1536-1546.
http://dx.doi.org/10.1016/j.na.2008.02.033

2008 (Σ =8, = 2, = 0)

1. W.J. Liu, Q.A. Ngo, W.B. Chen, A perturbed Ostrowski type inequality on time scales for $k$ points for functions whose second derivatives are bounded, J. Inequal. Appl. 2008, Article ID 597241, 12 pages.
http://dx.doi.org/10.1155/2008/597241
2. L. Cardoulis, Q.A. Ngo, H.Q. Toan, Existence of non-negative solutions for cooperative elliptic systems involving Schrodinger operators in the whole space, Rostock. Math. Kolloq. 63 (2008), pp. 63-77.
http://www.math.uni-rostock.de/math/pub/romako/romako63.html
3. Q.A. Ngo, H.Q. Toan, Existence of solutions for a resonant problem under Landesman-Lazer conditions, Electron. J. Diff. Eqns., Vol. 2008(2008), No. 98, pp. 1-10.
http://ejde.math.txstate.edu/Volumes/2008/98/abstr.html
4. W.J. Liu, Q.A. Ngo, A generalization of Ostrowski inequality on time scales for $k$ points, Appl. Math. Comput. 203 (2008), pp. 754-760.
http://dx.doi.org/10.1016/j.amc.2008.05.124

2007 (Σ = 4, = 0, = 0)

1. Q.A. Ngo, F. Qi and N.V. Thu, New generalizations of an integral inequality, Real Anal. Exchange 33 (2007), pp. 471-474.
http://projecteuclid.org/euclid.rae/1229619425
2. Q.A. Ngo and P.H. Tung, Notes on an open problem of F. Qi and Y. Chen and J. Kimball, JIPAM. J. Inequal. Pure Appl. Math., vol. 8, no. 2, p. 42, 2007.
http://www.emis.de/journals/JIPAM/article856.html

2006 (Σ = 2, = 0, = 0)

1. Q.A. Ngo, D.D. Thang, T.T. Dat, and D.A. Tuan, Notes on an integral inequality, JIPAM. J. Inequal. Pure Appl. Math., vol. 7, no. 4, p. 121, 2006.
http://www.emis.de/journals/JIPAM/article737.html

2005 (Σ = 1, = 0, = 0)

1. Q.A. Ngo, An application of the Lyapunov-Schmidt method to semilinear elliptic problems, Electron. J. Diff. Eqns., vol. 2005, no. 129, pp. 1-11, 2005.
http://ejde.math.txstate.edu/Volumes/2005/129/abstr.html

Last update: May 03, 2015.

## Appl. Math. Lett.

1. giỏi ghê, hâm mộ :X

Comment by colapthamso — October 16, 2008 @ 0:10

2. Hâm mộ! Hâm mộ! Cho xin ít tiền lẻ…keke

Comment by Voi me vi dai — December 30, 2008 @ 23:49

3. Wow, Anh Ngo Quoc la ai the nhi? Sao gioi the, cong trinh khoa hoc quoc te the nay cha may choc tro thanh nha KH hang dau the gioi! Bai phuc, bai phuc

Comment by ke vo gia cu — January 17, 2009 @ 19:35

4. gia tốc khủng khiếp, năm 2006,2007 mới vài cái đến năm 2008 cả đống,
2009 chắc không đếm nổi

Comment by hoctro — January 23, 2009 @ 21:48

5. tùy thui, lam ca dong ma toan thu linh tinh thi cung chang ra gi

Comment by math — May 7, 2009 @ 17:23

6. I have a friend, he is working as PhD student in Applied Mathematics and he try to reach only on journal paper during his PhD program. But he said it is quite difficult some points. Is he not enough the ability in studying?
Otherwise, it seems you can write one journal paper per week, can’t you?
How could you do that? Tell us the secrete?

Comment by JoelKisten — May 9, 2009 @ 5:06

• Dear Joel Kisten,

Please leave me your email so that I can email you directly. You can post your email together with your comment. Fortunately, WordPress will not show your email within the post.

Thank you.

Comment by Ngô Quốc Anh — October 28, 2009 @ 12:24

7. Hi Mr Ngo,
Unfortunately, I have used the last email for along time. My current email is joel.kisten02@…. I would like to keep in touch with you and we can exchange a bit a bout our work.
Best regards,
Kisten

Comment by JoelKisten — May 9, 2009 @ 23:52

8. dung nhu Bac o tren comment, dung la 1 mo hon don linh tinh, tap chi vo van,may tro BDT meo vat:)) sao mi cu mac benh khoe vo van the nhi, ta hieu mi, va biet ro kha nang cua mi den dau, mi a, mi nen look back yourself. Nguoi ta con lam nhieu thu troi be con ko khoe ma mi thi …reu rao khap noi tren cac dien dan. co le mi bi ham, o khoa cung noi the, chuyen tron thi dot1, de thi lai dot sau :))

Comment by khoaclacquen_khoekhoangvovan — May 29, 2009 @ 0:04

9. 1 nam viet duoc 15 bai nhieu qua. Ham phuc.
Co mot gop y: Bai nao toan la tich phan cho sinh vien nam thu 1 thi nen bo di.

Comment by choang — August 3, 2009 @ 10:35

• Ham phuc = ?

Comment by Ngô Quốc Anh — October 28, 2009 @ 12:25

• With my experiences, those integrals are very important, not only for understanding some relevant courses in Analysis but also for writing a research paper (even an important one, published on a good journal).

Comment by ULF — November 12, 2009 @ 5:19

10. May BDT linh tinh re tien khoe chi cho met the anh zai

Comment by Bat Dang Thuc re tien — October 28, 2009 @ 10:54

11. may cai BDT nay di jay cap 3 thi vo doi, nghie cuu que j

Comment by BDT re tien — October 28, 2009 @ 10:59

• Whenever you actually write a research paper, you will know how valuable those inequalities are.

I do believe Mr. Ngo is doing a very good job, which cannot easily be done by others. Let’s congratulate him, give him more inspiration!

Comment by ULF — November 12, 2009 @ 5:22

12. Certainly publishing on high-ranking journals is very important. This does not mean papers on lower-ranking journals are meaningless.

Everything must be step by step.

However what Mr. Ngo has obtained is huge, in compared with his highest tittle.

Comment by ULF — November 12, 2009 @ 5:26

13. Theo tôi nghĩ không phải chạy theo số bài báo mà nên theo chất lượng của bài báo. Có người chỉ đăng có 2-3 bài báo mà được thế giới công nhận là chuyên gia đầu ngành.

Comment by MATH — February 20, 2010 @ 23:55

14. Both, in my opinion.

You can invest your studies in two directions: long-term problems, and the rest.

You should not criticize a person who has many publications. You had better do it, if possible.

2-3 papers are enough to be at the top. It is possible. But in this world, there are just a few people like that. One must be careful to imagine to be another Bao Chau Ngo, who is an extraordinary case.

I do not know whom or what Mr. Ngo is. But his contributions should be appreciated.

Comment by ULF — February 21, 2010 @ 8:06

15. Số lượng bài báo của anh NQA chứng tỏ là anh ấy là người tích cực nghiên cứu, chuyện công khai CV ở nước ngoài là bình thường. Đáng buồn là nhiều người có học vị cao mà không nghiên cứu gì hoặc rất lười nghiên cứu. Các paper của anh NQA nói chung không phải là những bài có thể gọi là “gây được sự chú ý”, nhưng thế là đã khởi đầu khá tốt cho con đường khoa học của mình rồi. Không ai đi so sánh những người làm toán với nhau. Hi vọng một ngày nào đó có thể thấy anh ở Ann. Math. hay Proc. Amer. Math. Soc.,…

Comment by Minh — March 1, 2010 @ 20:45

16. This is the list of 20-top prestigious journals of mathematics, according to ISI standards.

1 COMMUN PUR APPL MATH 0010-3640 5522 3.806 3.855 0.774 53 >10.0 0.02065 3.757
2 B AM MATH SOC 0273-0979 2878 3.500 3.658 0.211 19 >10.0 0.00539 3.334
3 ANN MATH 0003-486X 7467 3.447 3.575 1.024 42 >10.0 0.02645 4.487
4 J AM MATH SOC 0894-0347 1803 2.476 3.308 0.256 39 9.3 0.01613 4.666
5 MEM AM MATH SOC 0065-9266 1708 2.367 2.109 0.571 28 >10.0 0.00742 2.594
6 INVENT MATH 0020-9910 5844 2.287 2.375 0.420 69 >10.0 0.02498 3.354
7 ACTA MATH-DJURSHOLM 0001-5962 2425 2.143 2.371 0.273 11 >10.0 0.00459 3.343
8 FOUND COMPUT MATH 1615-3375 240 2.061 2.181 0.240 25 4.2 0.00366 2.293
9 COMPUT COMPLEX 1016-3328 536 1.562 1.945 0.200 20 >10.0 0.00116 0.951
10 DUKE MATH J 0012-7094 3632 1.494 1.621 0.257 74 >10.0 0.01962 2.225
11 PUBL MATH-PARIS 0073-8301 866 1.462 1.674 0.500 6 >10.0 0.00262 2.753
12 J DIFFER EQUATIONS 0022-0396 5828 1.349 1.603 0.129 263 10.0 0.02917 1.144
13 AM J MATH 0002-9327 3354 1.316 1.319 0.192 52 >10.0 0.00988 1.972
14 CONSTR APPROX 0176-4276 625 1.308 1.085 0.355 31 >10.0 0.00357 1.054
15 NONLINEAR ANAL-THEOR 0362-546X 6065 1.295 1.408 0.182 774 7.3 0.02606 0.676
16 B SYMB LOG 1079-8986 192 1.294 0.883 0.053 19 7.2 0.00195 0.937
17 ADV MATH 0001-8708 3620 1.280 1.429 0.300 220 >10.0 0.03212 1.844
18 RANDOM STRUCT ALGOR 1042-9832 960 1.253 1.469 0.173 52 8.1 0.00783 1.576
19 J DIFFER GEOM 0022-040X 2543 1.244 1.426 0.233 43 >10.0 0.00829 1.919
20 COMMUN PART DIFF EQ

“Proc. Amer. Math. Soc.,…” is an average one. Its ranking is now 101 of 215 journals of maths, more precisely:

101 P AM MATH SOC 0002-9939 7549 0.584 0.621 0.160 518 >10.0 0.03467 0.689

To compare with the guys in this link “http://www.flickr.com/photos/47624590@N04/”, Mr. Ngo is great.

Now research criteria are not clear in Vietnam. Therefore we should congratulate Mr. Ngo and encourage him to carry out more results.

Comment by ULF — March 1, 2010 @ 21:10

• Thank ULF for this helpful information. BTW, my joint work Nonlinear Anal. 70 (2009), pp. 1536-1546 is ranked 15 according to the list. That’s amazing🙂.

Comment by Ngô Quốc Anh — March 1, 2010 @ 21:58

• Yeah! I have checked your profile carefully before supporting you. I do not have much free time for thoughtless claims as other guys did.

Every comment should be based on trustworthy sources, not just from personal affairs.

I do hope you work harder and more determined. Then you can close innocent mouths.

Comment by ULF — March 1, 2010 @ 22:47

17. To be honest, after Mr. Ngo defends his PhD thesis, and builds a more official homepage (not just a blog), I am willing to recommend him to Mathematical Reviewer, to be a reviewer, if he has interest in it. Please email me about this theme whenever it is possible, Mr. Ngo!

Comment by ULF — March 1, 2010 @ 21:15

• Mathematical Reviewer—-> Mathematical Reviews. Sorry.

Comment by ULF — March 1, 2010 @ 21:22

• Thank you.

Comment by Ngô Quốc Anh — March 1, 2010 @ 21:59

18. cac bac cho e hoi cai This is the list of 20-top prestigious journals of mathematics, according to ISI standards.<————-tim o trag nao the

Comment by gotoyourdream — March 9, 2010 @ 22:53

19. As I told, journals’ ranking is somehow possibly used to estimate a mathematician’s profile. But it is not always correct.

In order to conclude if a guy’s is good or not, there are different criteria needed.

All in all, I do appreciate your efforts. But I do not agree when you felt very “confident” about Nonlinear Anal. The impact factors of Bulletin of London… or Journal of London…. may be rather lower than Nonlinear Anal.’s; however, I am not sure if you can easily get one paper accepted by these journals after you possibly have 5 papers in Nonlinear Anal.

As I advised you, your achievement is okay. But keeping silent and working harder and publishing papers in more prestigious journals should be considered.

Good luck!

Comment by ULF — April 1, 2010 @ 7:47