Nonlinear elliptic problems involving the n-Laplacian with maximal growth

Nonlinear elliptic problems involving the n-Laplacian with maximal growth

In this article, we study the limit case of some elliptic problems involving nonlinearities having the maximal growth with Dirichlet boundary conditions. We apply a result by Ricceri [12] to prove the existence of multiple nontrivial solutions using Trudinger-Moser estimates.

Bibliographic Details
Main Authors: Abderrahim El Attar, Said El Manouni, Omar Sidki
Format: Article
Language:English
Published: Texas State University 2015-07-01
Series:Electronic Journal of Differential Equations
Subjects:
Limit case
maximal growth
Trudinger-Moser's inequality
Ricceri's principle
Online Access:http://ejde.math.txstate.edu/Volumes/2015/197/abstr.html
Description
Summary:In this article, we study the limit case of some elliptic problems involving nonlinearities having the maximal growth with Dirichlet boundary conditions. We apply a result by Ricceri [12] to prove the existence of multiple nontrivial solutions using Trudinger-Moser estimates.
ISSN:1072-6691

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