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2012 MULTIPLICITY RESULTS FOR SOME ELLIPTIC PROBLEMS OF $n$-LAPLACE TYPE
Said El Manouni, Francesca Faraci
Taiwanese J. Math. 16(3): 901-911 (2012). DOI: 10.11650/twjm/1500406666

Abstract

By using a recent result of Ricceri, we prove the existence of multiple solutions for perturbed $n$-Laplacian equations with Dirichlet boundary conditions. The Trudinger Moser inequality allows us to deal with perturbations with exponential growth.

Citation

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Said El Manouni. Francesca Faraci. "MULTIPLICITY RESULTS FOR SOME ELLIPTIC PROBLEMS OF $n$-LAPLACE TYPE." Taiwanese J. Math. 16 (3) 901 - 911, 2012. https://doi.org/10.11650/twjm/1500406666

Information

Published: 2012
First available in Project Euclid: 18 July 2017

zbMATH: 1248.35070
MathSciNet: MR2917246
Digital Object Identifier: 10.11650/twjm/1500406666

Subjects:
Primary: 35J35 , 35J60 , 35J66

Keywords: $n$-Laplacian , Dirichlet boundary conditions , exponential growth , multiple solutions

Rights: Copyright © 2012 The Mathematical Society of the Republic of China

Vol.16 • No. 3 • 2012
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