Existence of weak solutions to degenerate Leray–Lions operators in weighted quasilinear elliptic equations with variable exponents, indefinite nonlinearity, and Hardy-type term
This paper investigates multiplicity results of weak solutions to a degenerate weighted elliptic problem involving Leray–Lions operators with indefinite nonlinearity and variable exponents. Using critical point theory, we establish the existence of at least one, respectively three weak solutions und...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-05-01
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| Series: | Results in Applied Mathematics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2590037425000445 |
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| author | Khaled Kefi |
| author_facet | Khaled Kefi |
| author_sort | Khaled Kefi |
| collection | DOAJ |
| description | This paper investigates multiplicity results of weak solutions to a degenerate weighted elliptic problem involving Leray–Lions operators with indefinite nonlinearity and variable exponents. Using critical point theory, we establish the existence of at least one, respectively three weak solutions under suitable assumptions. The results extend to a wide range of nonlinear problems in mathematical physics, addressing the complications arising from degeneracy, Hardy-type singularities, and indefinite source terms. |
| format | Article |
| id | doaj-art-b2db72e4b97a4971bd2a9704e1ffcb05 |
| institution | DOAJ |
| issn | 2590-0374 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Applied Mathematics |
| spelling | doaj-art-b2db72e4b97a4971bd2a9704e1ffcb052025-08-20T02:55:20ZengElsevierResults in Applied Mathematics2590-03742025-05-012610058010.1016/j.rinam.2025.100580Existence of weak solutions to degenerate Leray–Lions operators in weighted quasilinear elliptic equations with variable exponents, indefinite nonlinearity, and Hardy-type termKhaled Kefi0Center for Scientific Research and Entrepreneurship, Northern Border University, Arar 73213, Saudi ArabiaThis paper investigates multiplicity results of weak solutions to a degenerate weighted elliptic problem involving Leray–Lions operators with indefinite nonlinearity and variable exponents. Using critical point theory, we establish the existence of at least one, respectively three weak solutions under suitable assumptions. The results extend to a wide range of nonlinear problems in mathematical physics, addressing the complications arising from degeneracy, Hardy-type singularities, and indefinite source terms.http://www.sciencedirect.com/science/article/pii/S2590037425000445Degenerate Leray–Lions operatorVariational methodsHardy inequality |
| spellingShingle | Khaled Kefi Existence of weak solutions to degenerate Leray–Lions operators in weighted quasilinear elliptic equations with variable exponents, indefinite nonlinearity, and Hardy-type term Results in Applied Mathematics Degenerate Leray–Lions operator Variational methods Hardy inequality |
| title | Existence of weak solutions to degenerate Leray–Lions operators in weighted quasilinear elliptic equations with variable exponents, indefinite nonlinearity, and Hardy-type term |
| title_full | Existence of weak solutions to degenerate Leray–Lions operators in weighted quasilinear elliptic equations with variable exponents, indefinite nonlinearity, and Hardy-type term |
| title_fullStr | Existence of weak solutions to degenerate Leray–Lions operators in weighted quasilinear elliptic equations with variable exponents, indefinite nonlinearity, and Hardy-type term |
| title_full_unstemmed | Existence of weak solutions to degenerate Leray–Lions operators in weighted quasilinear elliptic equations with variable exponents, indefinite nonlinearity, and Hardy-type term |
| title_short | Existence of weak solutions to degenerate Leray–Lions operators in weighted quasilinear elliptic equations with variable exponents, indefinite nonlinearity, and Hardy-type term |
| title_sort | existence of weak solutions to degenerate leray lions operators in weighted quasilinear elliptic equations with variable exponents indefinite nonlinearity and hardy type term |
| topic | Degenerate Leray–Lions operator Variational methods Hardy inequality |
| url | http://www.sciencedirect.com/science/article/pii/S2590037425000445 |
| work_keys_str_mv | AT khaledkefi existenceofweaksolutionstodegenerateleraylionsoperatorsinweightedquasilinearellipticequationswithvariableexponentsindefinitenonlinearityandhardytypeterm |