EXISTENCE OF WEAK NON-NEGATIVE SOLUTIONS FOR A CLASS OF NONUNIFORMLY BOUNDARY VALUE PROBLEM

- Journal title : Bulletin of the Korean Mathematical Society
- Volume 49, Issue 4, 2012, pp.737-748
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/BKMS.2012.49.4.737

Title & Authors

EXISTENCE OF WEAK NON-NEGATIVE SOLUTIONS FOR A CLASS OF NONUNIFORMLY BOUNDARY VALUE PROBLEM

Hang, Trinh Thi Minh; Toan, Hoang Quoc;

Hang, Trinh Thi Minh; Toan, Hoang Quoc;

Abstract

The goal of this paper is to study the existence of non-trivial non-negative weak solution for the nonlinear elliptic equation: with Dirichlet boundary condition in a bounded domain , , where , has asymptotically linear behavior. The solutions will be obtained in a subspace of the space and the proofs rely essentially on a variation of the mountain pass theorem in [12].

Keywords

mountain pass theorem;the weakly continuously differentiable functional;

Language

English

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