Nonlinear Fredholm alternative for the p-Laplacian under nonhomogeneous Neumann boundary condition
The nonlinear Fredholm alternative for the p-Laplacian in higher dimensions is established when nonhomogeneous terms appear in the equation and in the Neumann boundary condition. Further, the geometry of the associated energy functional is described and compared with the Dirichlet counterpart....
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| Format: | Article |
| Language: | English |
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Texas State University
2016-08-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2016/210/abstr.html |
| _version_ | 1818837935843180544 |
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| author | Gustavo Ferron Madeira |
| author_facet | Gustavo Ferron Madeira |
| author_sort | Gustavo Ferron Madeira |
| collection | DOAJ |
| description | The nonlinear Fredholm alternative for the p-Laplacian in higher dimensions
is established when nonhomogeneous terms appear in the equation and in
the Neumann boundary condition. Further, the geometry of the associated
energy functional is described and compared with the Dirichlet counterpart.
The proofs require only variational methods. |
| first_indexed | 2024-12-19T03:30:25Z |
| format | Article |
| id | doaj.art-763d29f5d2254049b38103ffe27eb35c |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-19T03:30:25Z |
| publishDate | 2016-08-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-763d29f5d2254049b38103ffe27eb35c2022-12-21T20:37:31ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912016-08-012016210,17Nonlinear Fredholm alternative for the p-Laplacian under nonhomogeneous Neumann boundary conditionGustavo Ferron Madeira0 Univ. Federal de Sao Carlos, Brazil The nonlinear Fredholm alternative for the p-Laplacian in higher dimensions is established when nonhomogeneous terms appear in the equation and in the Neumann boundary condition. Further, the geometry of the associated energy functional is described and compared with the Dirichlet counterpart. The proofs require only variational methods.http://ejde.math.txstate.edu/Volumes/2016/210/abstr.htmlQuasilinear elliptic equationsnonlinear Fredholm alternativep-LaplacianNeumann boundary value problemvariational methodsglobal minimizer |
| spellingShingle | Gustavo Ferron Madeira Nonlinear Fredholm alternative for the p-Laplacian under nonhomogeneous Neumann boundary condition Electronic Journal of Differential Equations Quasilinear elliptic equations nonlinear Fredholm alternative p-Laplacian Neumann boundary value problem variational methods global minimizer |
| title | Nonlinear Fredholm alternative for the p-Laplacian under nonhomogeneous Neumann boundary condition |
| title_full | Nonlinear Fredholm alternative for the p-Laplacian under nonhomogeneous Neumann boundary condition |
| title_fullStr | Nonlinear Fredholm alternative for the p-Laplacian under nonhomogeneous Neumann boundary condition |
| title_full_unstemmed | Nonlinear Fredholm alternative for the p-Laplacian under nonhomogeneous Neumann boundary condition |
| title_short | Nonlinear Fredholm alternative for the p-Laplacian under nonhomogeneous Neumann boundary condition |
| title_sort | nonlinear fredholm alternative for the p laplacian under nonhomogeneous neumann boundary condition |
| topic | Quasilinear elliptic equations nonlinear Fredholm alternative p-Laplacian Neumann boundary value problem variational methods global minimizer |
| url | http://ejde.math.txstate.edu/Volumes/2016/210/abstr.html |
| work_keys_str_mv | AT gustavoferronmadeira nonlinearfredholmalternativefortheplaplacianundernonhomogeneousneumannboundarycondition |