Ngô Quốc Anh

Báo cáo khoa học

  1. Positive solutions for a class of semilinear elliptic systems via the dual variational method [2006]
    In this talk, we consider the existence of non-trivial solutions for semilinear elliptic systems with n-equations on a bounded domain of \mathbb{R}^N, with zero Dirichlet boundary conditions

    -\Delta u + Au = f(u),
    u\left| {_{\partial \Omega } } \right. = 0,

    where

    u = \left( {u_1 ,u_2 ,..,u_n } \right), f\left( u \right) = \left( {f_1 \left( {u_1 } \right),f_2 \left( {u_2 } \right),..,f_n \left( {u_n } \right)} \right), {f_k \left( {u_k } \right)} (k=1,2,..,n)

    are nonlinear functions for u_k defined in \Omega and A = \left( {a_{ij} } \right)_{n \times n} is a matrix of real entries satisfying a_{ij} = a_{ji} for all i \ne j. Here, we use the dual variational method.

  2. An application of dual variational method to semilinear elliptic systems on a bounded domain [Feb, 2007]
  3. Morse theory and several applications to partial differential equations [May, 2007]
  4. Scalar curvatures of manifolds with negative conformal invariant [Oct, 2009]

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