Strongly nonlinear degenerated unilateral problems with L^1 data
In this paper, we study the existence of solutions for strongly nonlinear degenerated unilateral problems associated to nonlinear operators of the form $Au+g(x,u,abla u)$. Here $A$ is a Leray-Lions operator acting from $W_0^{1,p}(Omega,w)$ into its dual, while $g(x,s,xi)$ is a nonlinear term which h...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Texas State University
2002-12-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/conf-proc/09/a5/abstr.html |
| _version_ | 1818275950139277312 |
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| author | Elhoussine Azroul Abdelmoujib Benkirane Ouidad Filali |
| author_facet | Elhoussine Azroul Abdelmoujib Benkirane Ouidad Filali |
| author_sort | Elhoussine Azroul |
| collection | DOAJ |
| description | In this paper, we study the existence of solutions for strongly nonlinear degenerated unilateral problems associated to nonlinear operators of the form $Au+g(x,u,abla u)$. Here $A$ is a Leray-Lions operator acting from $W_0^{1,p}(Omega,w)$ into its dual, while $g(x,s,xi)$ is a nonlinear term which has a growth condition with respect to $xi$ and no growth condition with respect to $s$, the second term belongs to $L^{1}(Omega )$. |
| first_indexed | 2024-12-12T22:37:53Z |
| format | Article |
| id | doaj.art-94add18ba576419296b18950ec490eed |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-12T22:37:53Z |
| publishDate | 2002-12-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-94add18ba576419296b18950ec490eed2022-12-22T00:09:25ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912002-12-01Conference094964Strongly nonlinear degenerated unilateral problems with L^1 dataElhoussine AzroulAbdelmoujib BenkiraneOuidad FilaliIn this paper, we study the existence of solutions for strongly nonlinear degenerated unilateral problems associated to nonlinear operators of the form $Au+g(x,u,abla u)$. Here $A$ is a Leray-Lions operator acting from $W_0^{1,p}(Omega,w)$ into its dual, while $g(x,s,xi)$ is a nonlinear term which has a growth condition with respect to $xi$ and no growth condition with respect to $s$, the second term belongs to $L^{1}(Omega )$.http://ejde.math.txstate.edu/conf-proc/09/a5/abstr.htmlWeighted Sobolev spacesHardy inequalityquasilinear degenerated elliptic operators. |
| spellingShingle | Elhoussine Azroul Abdelmoujib Benkirane Ouidad Filali Strongly nonlinear degenerated unilateral problems with L^1 data Electronic Journal of Differential Equations Weighted Sobolev spaces Hardy inequality quasilinear degenerated elliptic operators. |
| title | Strongly nonlinear degenerated unilateral problems with L^1 data |
| title_full | Strongly nonlinear degenerated unilateral problems with L^1 data |
| title_fullStr | Strongly nonlinear degenerated unilateral problems with L^1 data |
| title_full_unstemmed | Strongly nonlinear degenerated unilateral problems with L^1 data |
| title_short | Strongly nonlinear degenerated unilateral problems with L^1 data |
| title_sort | strongly nonlinear degenerated unilateral problems with l 1 data |
| topic | Weighted Sobolev spaces Hardy inequality quasilinear degenerated elliptic operators. |
| url | http://ejde.math.txstate.edu/conf-proc/09/a5/abstr.html |
| work_keys_str_mv | AT elhoussineazroul stronglynonlineardegeneratedunilateralproblemswithl1data AT abdelmoujibbenkirane stronglynonlineardegeneratedunilateralproblemswithl1data AT ouidadfilali stronglynonlineardegeneratedunilateralproblemswithl1data |