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

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.

Bibliographic Details
Main Author: Francisco S. B. Albuquerque Albuquerque
Format: Article
Language:English
Published: Texas State University 2014-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2014/59/abstr.html
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author Francisco S. B. Albuquerque Albuquerque
author_facet Francisco S. B. Albuquerque Albuquerque
author_sort Francisco S. B. Albuquerque Albuquerque
collection DOAJ
description 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.
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spelling doaj.art-511ba6d225fd4e37861b07a9a1b4cf112022-12-22T00:56:50ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912014-02-01201459,112Nonlinear Schrodinger elliptic systems involving exponential critical growth in R^2Francisco S. B. Albuquerque Albuquerque0 Univ. Estadual da Paraiba, Brazil 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.http://ejde.math.txstate.edu/Volumes/2014/59/abstr.htmlElliptic systemsexponential critical growthTrudinger-Moser inequality
spellingShingle Francisco S. B. Albuquerque Albuquerque
Nonlinear Schrodinger elliptic systems involving exponential critical growth in R^2
Electronic Journal of Differential Equations
Elliptic systems
exponential critical growth
Trudinger-Moser inequality
title Nonlinear Schrodinger elliptic systems involving exponential critical growth in R^2
title_full Nonlinear Schrodinger elliptic systems involving exponential critical growth in R^2
title_fullStr Nonlinear Schrodinger elliptic systems involving exponential critical growth in R^2
title_full_unstemmed Nonlinear Schrodinger elliptic systems involving exponential critical growth in R^2
title_short Nonlinear Schrodinger elliptic systems involving exponential critical growth in R^2
title_sort nonlinear schrodinger elliptic systems involving exponential critical growth in r 2
topic Elliptic systems
exponential critical growth
Trudinger-Moser inequality
url http://ejde.math.txstate.edu/Volumes/2014/59/abstr.html
work_keys_str_mv AT franciscosbalbuquerquealbuquerque nonlinearschrodingerellipticsystemsinvolvingexponentialcriticalgrowthinr2