Characterization of solutions to equations involving the p(x)-Laplace operator

Characterization of solutions to equations involving the p(x)-Laplace operator

In this article we study two problems, a nonlinear eigenvalue problem involving the p(x)-Laplacian and a subcritical boundary value problem for the same operator. We work on the variable exponent Sobolev spaces and use one of the variants of the Mountain-Pass Lemma.

Bibliographic Details
Main Authors: Iulia Dorotheea Stircu, Vasile Florin Uta
Format: Article
Language:English
Published: Texas State University 2017-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Nonlinear eigenvalue problem
p(x)-Laplacian
critical point
variable exponent Sobolev spaces
mountain-pass theorem
Online Access:http://ejde.math.txstate.edu/Volumes/2017/273/abstr.html

Internet

http://ejde.math.txstate.edu/Volumes/2017/273/abstr.html

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