Dirichlet and Neumann Problems Related to Nonlinear Elliptic Systems: Solvability, Multiple Solutions, Solutions with Positive Components
We study the solvability of Dirichlet and Neumann problems for different classes of nonlinear elliptic systems depending on parameters and with nonmonotone operators, using existence theorems related to a general system of variational equations in a reflexive Banach space. We also point out some reg...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/760854 |
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| _version_ | 1832554397341581312 |
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| author | Luisa Toscano Speranza Toscano |
| author_facet | Luisa Toscano Speranza Toscano |
| author_sort | Luisa Toscano |
| collection | DOAJ |
| description | We study the solvability of Dirichlet and Neumann problems for different classes of nonlinear elliptic systems depending on parameters and with nonmonotone operators, using existence theorems related to a general system of variational equations in a reflexive Banach space. We also point out some regularity properties and the sign of the found solutions components. We often prove the existence of at least two different solutions with positive components. |
| format | Article |
| id | doaj-art-ed039f10c3b14caba802c7f83e7cec78 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-ed039f10c3b14caba802c7f83e7cec782025-02-03T05:51:39ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/760854760854Dirichlet and Neumann Problems Related to Nonlinear Elliptic Systems: Solvability, Multiple Solutions, Solutions with Positive ComponentsLuisa Toscano0Speranza Toscano1Department of Mathematics and Applications, “R. Caccioppoli.,” University of Naples “Federico II”, Via Claudio 21, 80125 Naples, ItalyDepartment of Mathematics and Applications, “R. Caccioppoli.,” University of Naples “Federico II”, Via Claudio 21, 80125 Naples, ItalyWe study the solvability of Dirichlet and Neumann problems for different classes of nonlinear elliptic systems depending on parameters and with nonmonotone operators, using existence theorems related to a general system of variational equations in a reflexive Banach space. We also point out some regularity properties and the sign of the found solutions components. We often prove the existence of at least two different solutions with positive components.http://dx.doi.org/10.1155/2012/760854 |
| spellingShingle | Luisa Toscano Speranza Toscano Dirichlet and Neumann Problems Related to Nonlinear Elliptic Systems: Solvability, Multiple Solutions, Solutions with Positive Components Abstract and Applied Analysis |
| title | Dirichlet and Neumann Problems Related to Nonlinear Elliptic Systems: Solvability, Multiple Solutions, Solutions with Positive Components |
| title_full | Dirichlet and Neumann Problems Related to Nonlinear Elliptic Systems: Solvability, Multiple Solutions, Solutions with Positive Components |
| title_fullStr | Dirichlet and Neumann Problems Related to Nonlinear Elliptic Systems: Solvability, Multiple Solutions, Solutions with Positive Components |
| title_full_unstemmed | Dirichlet and Neumann Problems Related to Nonlinear Elliptic Systems: Solvability, Multiple Solutions, Solutions with Positive Components |
| title_short | Dirichlet and Neumann Problems Related to Nonlinear Elliptic Systems: Solvability, Multiple Solutions, Solutions with Positive Components |
| title_sort | dirichlet and neumann problems related to nonlinear elliptic systems solvability multiple solutions solutions with positive components |
| url | http://dx.doi.org/10.1155/2012/760854 |
| work_keys_str_mv | AT luisatoscano dirichletandneumannproblemsrelatedtononlinearellipticsystemssolvabilitymultiplesolutionssolutionswithpositivecomponents AT speranzatoscano dirichletandneumannproblemsrelatedtononlinearellipticsystemssolvabilitymultiplesolutionssolutionswithpositivecomponents |