Recommended books

A

1. Thierry Aubin, Some nonlinear problems in Riemannian geometry, Springer, 1998.
2. Thierry Aubin, A course in differential geometry, AMS, 2001.

B

1. Martin Bohner and Allan Peterson, Advances in dynamic equations on time scales, Birkhauser, 2003.
2. H. Brezis, K.C. Chang, S.J. Li and P. Rabinowitz, Topological methods, variational methods and their applications, World Scientific, 2003.
3. Robert F. Brown, A topological introduction to nonlinear analysis, Birkhauser, 2004.
4. James Ward Brown and Ruel V. Churchill, Fourier series and boundary value problems, McGraw Hill, 2008.
5. James Ward Brown and Ruel V. Churchill, Complex variables and applications, McGraw Hill, 2009.

C

1. Jan Chabrowski, Weak convergence methods for semilinear elliptic equations, World Scientific, 1999.
2. Jan Chabrowski, Variational methods for potential operator equations, Walter de Gruyter, 1997.
3. Sun-Yung Alice Chang, Non-linear elliptic equations in conformal geometry, EMS, 2004.
4. Philippe G. Ciarlet and Ta-Tsien Li, Differential geometry: Theory and applications, World Scientific, 2008.
5. Constantin Costara and Dumitru Popa, Exercises in functional analysis, Kluwer, 2003.

D

1. Pavel Drabek, Alois Kufner and Francesco Nicolosi, Quasilinear elliptic equations with degenerations and singularities, Walter de Gruyter, 1997.
2. Olivier Druet, Emmanuel Hebey and Frederic Robert, Blow-up theory for elliptic PDEs in Riemannian geometry, Princeton, 2004.

F

1. Martin Flucher, Variational problems with concentration, Birkhauser, 1999.
2. L.E. Fraenkel, An introduction to maximum principles and symmetry in elliptic problems, Cambridge, 2000.

G

1. Marius Ghergu and Vicentiu D. Radulescu, Singular elliptic problems: Bifurcation and asymptotic analysis, Oxford, 2008.
2. Mariano Giaquinta, Introduction to regularity theory for nonlinear elliptic systems, Birkhauser, 1993.
3. D. Goeleven, Noncoercive variational problems and related results, Longman, 1996.

H

1. P.R. Halmos and V.S. Sunder, Bounded integral operators on spaces, Springer, 1978.
2. Emmanuel Hebey, Nonlinear analysis on manifolds: Sobolev spaces and inequalities, AMS, 1999.
3. Lars Hormander, Lectures on nonlinear hyperbolic differential equations, Springer, 1997.

J

1. Fritz John, Partial differential equations, Springer, 1982.
2. Jurgen Jost, Nonpositive curvature: Geometric and analytic aspects, Birkhauser, 1997.
3. Jurgen Jost, Nonlinear methods in Riemannian and Kahlerian geometry, Birkhauser, 1991.

K

1. Alois Kufner, Weighted Sobolev spaces, John Wiley & Sons, 1985.
2. Alois Kufner, Some applications of weighted Sobolev spaces, Leipzig, 1987.

L

1. V. Lakshmikantham and A.S. Vatsala, Generalized quasilinearization for nonlinear problems, Kluwer, 1998.
2. Peter D. Lax, Linear algebra, John Wiley & Sons, 1997.
3. Peter D. Lax, Hyperbolic partial differential equations, AMS, 2006.

M

1. William McLean, Strongly elliptic systems and boundary integral equations, Cambridge, 2000.
2. D.S. Mitrinovic, J.E. Pecaric and A.M. Fink, Inequalities involving functions and their integrals and derivatives, Kluwer, 1991.
3. Martin A. Moskowitz, A course in complex analysis in one variable, World Scientific, 2002.

N

1. Louis Nirenberg, Topics in nonlinear functional analysis, AMS, 2001.

P

1. Boris P. Paneah, The Oblique derivative problem: The Poincaré-Problem, Wiley-VCH, 2000.
2. Endre Pap, Null-additive set functions, Kluwer, 1995.
3. Endre Pap, Arpad Takaci and Djurdjica Takaci, Partial differential equations through examples and exercises, Kluwer, 1997.
4. Murray H. Protter and Hans F. Weinberger, Maximum principles in differential equations, Prentice-Hall, 1967.

R

1. M.M. Rao and Z.D. Ren, Theory of Orlicz spaces, Marcel Dekker, 1991.

S

1. Martin Schechter, Linking methods in critical point theory, Birkhauser, 1999.
2. C.G. Simader and H. Sohr, The Dirichlet problem for the Laplacian in bounded and unbounded domains, Longman, 1996.
3. G.D. Smith, Numerical solution of partial differential equations: Finite difference methods, Oxford, 1985.
4. Walter A. Strauss, Partial differential equations: An introduction, John Wiley & Sons, 2008.

T

1. Iskander A. Taimanov, Lectures on differential geometry, EMS, 2008.
2. Eugene E. Tyrtyshnikov, A brief introduction to numerical analysis, Birkhauser, 1997.

V

1. Laurent Véron, Singularities of solutions of second order quasilinear equations, Longman, 1996.

W

1. Zhenyuan Wang and George J. Klir, Fuzzy measure theory, Plenum, 1992.
2. G.B. Whitham F.R.S., Linear and nonlinear waves, John Wiley & Sons, 1974.