Solvability of nonlinear Dirichlet problem for a class of degenerate elliptic equations
We prove an existence result for solution to a class of nonlinear degenerate elliptic equation associated with a class of partial differential operators of the form Lu(x)=∑i,j=1nDj(aij(x)Diu(x)), with Dj=∂/∂xj, where aij:Ω→ℝ are functionssatisfying suitable hypotheses.
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| Format: | Article |
| Language: | English |
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Wiley
2004-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/S1085337504310043 |
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| _version_ | 1832565624330518528 |
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| author | Albo Carlos Cavalheiro |
| author_facet | Albo Carlos Cavalheiro |
| author_sort | Albo Carlos Cavalheiro |
| collection | DOAJ |
| description | We prove an existence result for solution to a class of nonlinear degenerate elliptic equation associated with a class of partial
differential operators of the form Lu(x)=∑i,j=1nDj(aij(x)Diu(x)), with Dj=∂/∂xj, where aij:Ω→ℝ are functionssatisfying suitable hypotheses. |
| format | Article |
| id | doaj-art-05765ae62cdf49d9a6166651ef7e91f3 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-05765ae62cdf49d9a6166651ef7e91f32025-02-03T01:07:00ZengWileyAbstract and Applied Analysis1085-33751687-04092004-01-012004320521410.1155/S1085337504310043Solvability of nonlinear Dirichlet problem for a class of degenerate elliptic equationsAlbo Carlos Cavalheiro0Departamento de Matemática, Universidade Estadual de Londrina, Londrina PR 86051-990, BrazilWe prove an existence result for solution to a class of nonlinear degenerate elliptic equation associated with a class of partial differential operators of the form Lu(x)=∑i,j=1nDj(aij(x)Diu(x)), with Dj=∂/∂xj, where aij:Ω→ℝ are functionssatisfying suitable hypotheses.http://dx.doi.org/10.1155/S1085337504310043 |
| spellingShingle | Albo Carlos Cavalheiro Solvability of nonlinear Dirichlet problem for a class of degenerate elliptic equations Abstract and Applied Analysis |
| title | Solvability of nonlinear Dirichlet problem for a class of degenerate elliptic equations |
| title_full | Solvability of nonlinear Dirichlet problem for a class of degenerate elliptic equations |
| title_fullStr | Solvability of nonlinear Dirichlet problem for a class of degenerate elliptic equations |
| title_full_unstemmed | Solvability of nonlinear Dirichlet problem for a class of degenerate elliptic equations |
| title_short | Solvability of nonlinear Dirichlet problem for a class of degenerate elliptic equations |
| title_sort | solvability of nonlinear dirichlet problem for a class of degenerate elliptic equations |
| url | http://dx.doi.org/10.1155/S1085337504310043 |
| work_keys_str_mv | AT albocarloscavalheiro solvabilityofnonlineardirichletproblemforaclassofdegenerateellipticequations |