Existence of solutions for a class of quasilinear degenerate $p(x)$-Laplace equations
We study the existence of weak solutions for a degenerate $p(x)$-Laplace equation. The main tool used is the variational method, more precisely, the Mountain Pass Theorem.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Szeged
2018-08-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=6757 |
| _version_ | 1797830501147344896 |
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| author | Qing-Mei Zhou Jian-Fang Wu |
| author_facet | Qing-Mei Zhou Jian-Fang Wu |
| author_sort | Qing-Mei Zhou |
| collection | DOAJ |
| description | We study the existence of weak solutions for a degenerate $p(x)$-Laplace equation. The main tool used is the variational method, more precisely, the Mountain Pass Theorem. |
| first_indexed | 2024-04-09T13:38:11Z |
| format | Article |
| id | doaj.art-4546276765b046b8a86e6671e82dcdc6 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:38:11Z |
| publishDate | 2018-08-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-4546276765b046b8a86e6671e82dcdc62023-05-09T07:53:08ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752018-08-0120186911010.14232/ejqtde.2018.1.696757Existence of solutions for a class of quasilinear degenerate $p(x)$-Laplace equationsQing-Mei Zhou0Jian-Fang Wu1Northeast Forestry University, Harbin, P. R. ChinaDepartment of Applied Mathematics, Harbin Engineering University, Harbin, P.R.ChinaWe study the existence of weak solutions for a degenerate $p(x)$-Laplace equation. The main tool used is the variational method, more precisely, the Mountain Pass Theorem.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=6757sobolev spaces with variable exponentvariational methodsmountain pass theorem |
| spellingShingle | Qing-Mei Zhou Jian-Fang Wu Existence of solutions for a class of quasilinear degenerate $p(x)$-Laplace equations Electronic Journal of Qualitative Theory of Differential Equations sobolev spaces with variable exponent variational methods mountain pass theorem |
| title | Existence of solutions for a class of quasilinear degenerate $p(x)$-Laplace equations |
| title_full | Existence of solutions for a class of quasilinear degenerate $p(x)$-Laplace equations |
| title_fullStr | Existence of solutions for a class of quasilinear degenerate $p(x)$-Laplace equations |
| title_full_unstemmed | Existence of solutions for a class of quasilinear degenerate $p(x)$-Laplace equations |
| title_short | Existence of solutions for a class of quasilinear degenerate $p(x)$-Laplace equations |
| title_sort | existence of solutions for a class of quasilinear degenerate p x laplace equations |
| topic | sobolev spaces with variable exponent variational methods mountain pass theorem |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=6757 |
| work_keys_str_mv | AT qingmeizhou existenceofsolutionsforaclassofquasilineardegeneratepxlaplaceequations AT jianfangwu existenceofsolutionsforaclassofquasilineardegeneratepxlaplaceequations |