Singular limit solutions for a 2-dimensional semilinear elliptic system of Liouville type

Abstract

We consider the existence of singular limit solutions for a nonlinear elliptic system of Liouville type with Dirichlet boundary conditions. We use the nonlinear domain decomposition method.

Nonexistence of stable solutions for quasilinear Schrödinger equation

“…On the other hand, the nonexistence of solutions and either the stable or unstable solutions for Lane-Emden problems are investigated to some extent. The results can be found in [1,3,8,14,15,18,19,21,25,26,28], and the references therein. To the best of our knowledge, there are no results on the nonexistence of solutions for (1.1).…”

Blow up solutions for 2-dimensional semilinear elliptic of liouville type with nonlinear gradient term

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Existence of solution for p-Laplacian boundary value problems with two singular and subcritical nonlinearities

“…M. Trabelsi and N. Trabelsi [24] considered the semilinear elliptic system and proved existence of the singular limit solutions for a two-dimensional semilinear elliptic system of Liouville type.…”