Existence result for hemivariational inequality involving p(x)-Laplacian
In this paper we study the nonlinear elliptic problem with \(p(x)\)-Laplacian (hemivariational inequality).We prove the existence of a nontrivial solution. Our approach is based on critical point theory for locally Lipschitz functionals due to Chang [J. Math. Anal. Appl. 80 (1981), 102–129].
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| Format: | Article |
| Language: | English |
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AGH Univeristy of Science and Technology Press
2012-01-01
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| Series: | Opuscula Mathematica |
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| Online Access: | http://www.opuscula.agh.edu.pl/vol32/3/art/opuscula_math_3230.pdf |
| _version_ | 1818950427512668160 |
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| author | Sylwia Barnaś |
| author_facet | Sylwia Barnaś |
| author_sort | Sylwia Barnaś |
| collection | DOAJ |
| description | In this paper we study the nonlinear elliptic problem with \(p(x)\)-Laplacian (hemivariational inequality).We prove the existence of a nontrivial solution. Our approach is based on critical point theory for locally Lipschitz functionals due to Chang [J. Math. Anal. Appl. 80 (1981), 102–129]. |
| first_indexed | 2024-12-20T09:18:25Z |
| format | Article |
| id | doaj.art-fc1892a5ec9646ae8e2f4f1d31d88822 |
| institution | Directory Open Access Journal |
| issn | 1232-9274 |
| language | English |
| last_indexed | 2024-12-20T09:18:25Z |
| publishDate | 2012-01-01 |
| publisher | AGH Univeristy of Science and Technology Press |
| record_format | Article |
| series | Opuscula Mathematica |
| spelling | doaj.art-fc1892a5ec9646ae8e2f4f1d31d888222022-12-21T19:45:21ZengAGH Univeristy of Science and Technology PressOpuscula Mathematica1232-92742012-01-01323439454http://dx.doi.org/10.7494/OpMath.2012.32.3.4393230Existence result for hemivariational inequality involving p(x)-LaplacianSylwia Barnaś0Cracow University of Technology, Institute of Mathematics, ul. Warszawska 24 31-155 Kraków, PolandIn this paper we study the nonlinear elliptic problem with \(p(x)\)-Laplacian (hemivariational inequality).We prove the existence of a nontrivial solution. Our approach is based on critical point theory for locally Lipschitz functionals due to Chang [J. Math. Anal. Appl. 80 (1981), 102–129].http://www.opuscula.agh.edu.pl/vol32/3/art/opuscula_math_3230.pdf\(p(x)\)-LaplacianPalais-Smale conditionmountain pass theoremvariable exponent Sobolev space |
| spellingShingle | Sylwia Barnaś Existence result for hemivariational inequality involving p(x)-Laplacian Opuscula Mathematica \(p(x)\)-Laplacian Palais-Smale condition mountain pass theorem variable exponent Sobolev space |
| title | Existence result for hemivariational inequality involving p(x)-Laplacian |
| title_full | Existence result for hemivariational inequality involving p(x)-Laplacian |
| title_fullStr | Existence result for hemivariational inequality involving p(x)-Laplacian |
| title_full_unstemmed | Existence result for hemivariational inequality involving p(x)-Laplacian |
| title_short | Existence result for hemivariational inequality involving p(x)-Laplacian |
| title_sort | existence result for hemivariational inequality involving p x laplacian |
| topic | \(p(x)\)-Laplacian Palais-Smale condition mountain pass theorem variable exponent Sobolev space |
| url | http://www.opuscula.agh.edu.pl/vol32/3/art/opuscula_math_3230.pdf |
| work_keys_str_mv | AT sylwiabarnas existenceresultforhemivariationalinequalityinvolvingpxlaplacian |