Existence of multiple weak solutions to a weighted quasilinear elliptic equation
In this study, we explore the existence of solutions to certain quasilinear degenerate elliptic equations that involve Hardy singular coefficients. Using variational techniques and critical point theorems, we establish new criteria for the existence of at least three weak solutions, under the assump...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-02-01
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| Series: | Results in Applied Mathematics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2590037424001067 |
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| _version_ | 1850070426892369920 |
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| author | Khaled Kefi |
| author_facet | Khaled Kefi |
| author_sort | Khaled Kefi |
| collection | DOAJ |
| description | In this study, we explore the existence of solutions to certain quasilinear degenerate elliptic equations that involve Hardy singular coefficients. Using variational techniques and critical point theorems, we establish new criteria for the existence of at least three weak solutions, under the assumption that the nonlinearity meets appropriate conditions. |
| format | Article |
| id | doaj-art-6a664077beaa41ff90d0ae47a8a4896f |
| institution | DOAJ |
| issn | 2590-0374 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Applied Mathematics |
| spelling | doaj-art-6a664077beaa41ff90d0ae47a8a4896f2025-08-20T02:47:33ZengElsevierResults in Applied Mathematics2590-03742025-02-012510053610.1016/j.rinam.2024.100536Existence of multiple weak solutions to a weighted quasilinear elliptic equationKhaled Kefi0Center for Scientific Research and Entrepreneurship, Northern Border University, Arar 73213, Saudi ArabiaIn this study, we explore the existence of solutions to certain quasilinear degenerate elliptic equations that involve Hardy singular coefficients. Using variational techniques and critical point theorems, we establish new criteria for the existence of at least three weak solutions, under the assumption that the nonlinearity meets appropriate conditions.http://www.sciencedirect.com/science/article/pii/S2590037424001067Variational methodsHardy termsDegenerate p-Laplacian operators |
| spellingShingle | Khaled Kefi Existence of multiple weak solutions to a weighted quasilinear elliptic equation Results in Applied Mathematics Variational methods Hardy terms Degenerate p-Laplacian operators |
| title | Existence of multiple weak solutions to a weighted quasilinear elliptic equation |
| title_full | Existence of multiple weak solutions to a weighted quasilinear elliptic equation |
| title_fullStr | Existence of multiple weak solutions to a weighted quasilinear elliptic equation |
| title_full_unstemmed | Existence of multiple weak solutions to a weighted quasilinear elliptic equation |
| title_short | Existence of multiple weak solutions to a weighted quasilinear elliptic equation |
| title_sort | existence of multiple weak solutions to a weighted quasilinear elliptic equation |
| topic | Variational methods Hardy terms Degenerate p-Laplacian operators |
| url | http://www.sciencedirect.com/science/article/pii/S2590037424001067 |
| work_keys_str_mv | AT khaledkefi existenceofmultipleweaksolutionstoaweightedquasilinearellipticequation |