Three nontrivial solutions for some elliptic equation involving the $N$-Laplacian

Three nontrivial solutions for some elliptic equation involving the $N$-Laplacian

A new variational approach is used in order to establish the existence of at least three nontrivial solutions to some elliptic equation involving the $N$-Laplacian and whose nonlinearity term enjoys a critical exponential growth. The well known Ambrosetti–Rabinowitz condition is not needed.

Bibliographic Details
Main Author: Sami Aouaoui
Format: Article
Language:English
Published: University of Szeged 2015-02-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
$n$-laplacian
trudinger > moser inequality
critical exponential growth
variational method
local minima
palais > smale condition
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=3347

Internet

http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=3347

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