Nonlinear Schrodinger elliptic systems involving exponential critical growth in R^2

Abstract

This article concerns the existence and multiplicity of solutions for elliptic systems with weights, and nonlinearities having exponential critical growth. Our approach is based on the Trudinger-Moser inequality and on a minimax theorem.

Keywords

• Elliptic systems
• exponential critical growth
• Trudinger-Moser inequality