Electron. J. Diff. Equ., Vol. 2014 (2014), No. 59, pp. 1-12.

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

Francisco Siberio Bezerra Albuquerque

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.

Submitted August 22, 2013. Published February 28, 2014.
Math Subject Classifications: 35J20, 35J25, 35J50.
Key Words: Elliptic systems; exponential critical growth; Trudinger-Moser inequality.

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Francisco Siberio Bezerra Albuquerque
Centro de Ciências Exatas e Sociais Aplicadas
Universidade Estadual da Paraíba 58700-070
Patos, PB, Brazil
email: siberio_ba@uepb.edu.br, siberio@mat.ufpb.br

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