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1. CHARACTERIZATION OF SOLUTIONS TO EQUATIONS INVOLVING THE p(x)-LAPLACE OPERATOR.

Author

STÎRCU, IULIA DOROTHEEA and UŢĂ, VASILE FLORIN

Subjects
*LAPLACIAN operator, *BOUNDARY value problems, *SOBOLEV spaces, *MOUNTAIN pass theorem, *IMAGE reconstruction
Abstract

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. [ABSTRACT FROM AUTHOR]

Published
2017

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