Existence Theorems for Some Classes of Boundary Value Problems Involving the P(X)-Laplacian

Ionica Andrei

doi:10.15388/NA.2008.13.2.14575

Articles

Ionica Andrei

University of Craiova, Romania

Published 2008-04-25

https://doi.org/10.15388/NA.2008.13.2.14575

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Keywords

p(x)-Laplacian
nonlinear eigenvalue problem
critical point theory

How to Cite

Andrei, I. (2008) “Existence Theorems for Some Classes of Boundary Value Problems Involving the P(X)-Laplacian”, Nonlinear Analysis: Modelling and Control, 13(2), pp. 145–158. doi:10.15388/NA.2008.13.2.14575.

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Abstract

We prove an alternative for a nonlinear eigenvalue problem involving the p(x)-Laplacian and study a subcritical boundary value problem for the same operator. The theoretical approach is the Mountain Pass Lemma and one of its variants, which is very useful in the study of eigenvalue problems.

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