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.

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Bibliographische Detailangaben
Veröffentlicht in:	Electronic journal of differential equations 2017-11, Vol.2017 (273), p.1-16
Hauptverfasser:	Iulia Dorotheea Stircu, Vasile Florin Uta
Format:	Artikel
Sprache:	eng
Schlagworte:	critical point mountain-pass theorem Nonlinear eigenvalue problem p(x)-Laplacian variable exponent Sobolev spaces
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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.
ISSN:	1072-6691