SOLUTIONS FOR A RESONANT ELLIPTIC SYSTEM WITH COUPLING IN

7 January 2002

journal article
Published by Taylor & Francis in Communications in Partial Differential Equations

Vol. 27 (7-8) , 1515-1536
https://doi.org/10.1081/pde-120005847

Abstract

Existence and multiplicity of solutions are established, via the Variational Method, for a class of resonant semilinear elliptic system in under a local nonquadraticity condition at infinity. The main goal is to consider systems with coupling where one of the potentials does not satisfy any coercivity condition. The existence of solution is proved under a critical growth condition on the nonlinearity.

Keywords

ELLIPTIC SYSTEM
LOCAL NONQUADRATICITY
MAIN GOAL
CONSIDER SYSTEMS
RESONANT SEMILINEAR
NONQUADRATICITY CONDITION
COERCIVITY CONDITION
RESONANT ELLIPTIC

This publication has 1 reference indexed in Scilit:

Nonlinear scalar field equations, I existence of a ground state
Archive for Rational Mechanics and Analysis, 1983