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.
Main Authors: | , |
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Format: | Article |
Language: | English |
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Texas State University
2017-11-01
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Series: | Electronic Journal of Differential Equations |
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Online Access: | http://ejde.math.txstate.edu/Volumes/2017/273/abstr.html |
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author | Iulia Dorotheea Stircu Vasile Florin Uta |
author_facet | Iulia Dorotheea Stircu Vasile Florin Uta |
author_sort | Iulia Dorotheea Stircu |
collection | DOAJ |
description | 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. |
first_indexed | 2024-12-12T00:38:07Z |
format | Article |
id | doaj.art-b0aa8de73084468e8e7751fe2fdab405 |
institution | Directory Open Access Journal |
issn | 1072-6691 |
language | English |
last_indexed | 2024-12-12T00:38:07Z |
publishDate | 2017-11-01 |
publisher | Texas State University |
record_format | Article |
series | Electronic Journal of Differential Equations |
spelling | doaj.art-b0aa8de73084468e8e7751fe2fdab4052022-12-22T00:44:19ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912017-11-012017273,116Characterization of solutions to equations involving the p(x)-Laplace operatorIulia Dorotheea Stircu0Vasile Florin Uta1 Univ. of Craiova, Romania Univ. of Craiova, Romania 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.http://ejde.math.txstate.edu/Volumes/2017/273/abstr.htmlNonlinear eigenvalue problemp(x)-Laplaciancritical pointvariable exponent Sobolev spaces mountain-pass theorem |
spellingShingle | Iulia Dorotheea Stircu Vasile Florin Uta Characterization of solutions to equations involving the p(x)-Laplace operator Electronic Journal of Differential Equations Nonlinear eigenvalue problem p(x)-Laplacian critical point variable exponent Sobolev spaces mountain-pass theorem |
title | Characterization of solutions to equations involving the p(x)-Laplace operator |
title_full | Characterization of solutions to equations involving the p(x)-Laplace operator |
title_fullStr | Characterization of solutions to equations involving the p(x)-Laplace operator |
title_full_unstemmed | Characterization of solutions to equations involving the p(x)-Laplace operator |
title_short | Characterization of solutions to equations involving the p(x)-Laplace operator |
title_sort | characterization of solutions to equations involving the p x laplace operator |
topic | Nonlinear eigenvalue problem p(x)-Laplacian critical point variable exponent Sobolev spaces mountain-pass theorem |
url | http://ejde.math.txstate.edu/Volumes/2017/273/abstr.html |
work_keys_str_mv | AT iuliadorotheeastircu characterizationofsolutionstoequationsinvolvingthepxlaplaceoperator AT vasileflorinuta characterizationofsolutionstoequationsinvolvingthepxlaplaceoperator |