A nondifferentiable extension of a theorem of Pucci and Serrin and applications
We study the multiplicity of critical points for functionals which are only differentiable along some directions. We extend to this class of functionals the three critical point theorem of Pucci and Serrin and we apply it to a one-parameter family of functionals $J_\lambda$, $\lambda \in I\subset \m...
| Main Authors: | , |
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| Format: | info:eu-repo/semantics/article |
| Language: | English |
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Elsevier
2012
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| Online Access: | http://hdl.handle.net/10835/577 |
| _version_ | 1789406282951688192 |
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| author | Arcoya, David Carmona Tapia, José |
| author_facet | Arcoya, David Carmona Tapia, José |
| author_sort | Arcoya, David |
| collection | DSpace |
| description | We study the multiplicity of critical points for functionals which are only differentiable along some directions. We extend to this class of functionals the three critical point theorem of Pucci and Serrin and we apply it to a one-parameter family of functionals $J_\lambda$, $\lambda \in I\subset \mathbb R$. Under suitable assumptions, we locate an open subinterval of values $\lambda$ in $I$ for which $J_\lambda$ possesses at least three critical points. Applications to quasilinear boundary value problems are also given. |
| format | info:eu-repo/semantics/article |
| id | oai:repositorio.ual.es:10835-577 |
| institution | Universidad de Cuenca |
| language | English |
| publishDate | 2012 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | oai:repositorio.ual.es:10835-5772023-04-12T19:36:09Z A nondifferentiable extension of a theorem of Pucci and Serrin and applications Arcoya, David Carmona Tapia, José We study the multiplicity of critical points for functionals which are only differentiable along some directions. We extend to this class of functionals the three critical point theorem of Pucci and Serrin and we apply it to a one-parameter family of functionals $J_\lambda$, $\lambda \in I\subset \mathbb R$. Under suitable assumptions, we locate an open subinterval of values $\lambda$ in $I$ for which $J_\lambda$ possesses at least three critical points. Applications to quasilinear boundary value problems are also given. 2012-01-03T09:44:19Z 2012-01-03T09:44:19Z 2007-04-15 info:eu-repo/semantics/article David Arcoya, José Carmona, A nondifferentiable extension of a theorem of Pucci and Serrin and applications, Journal of Differential Equations, Volume 235, Issue 2, 15 April 2007, Pages 683-700 0022-0396 http://hdl.handle.net/10835/577 en http://www.sciencedirect.com/science/article/pii/S0022039606004736 info:eu-repo/semantics/openAccess Elsevier DOI 10.1016/j.jde.2006.11.022. |
| spellingShingle | Arcoya, David Carmona Tapia, José A nondifferentiable extension of a theorem of Pucci and Serrin and applications |
| title | A nondifferentiable extension of a theorem of Pucci and Serrin and applications |
| title_full | A nondifferentiable extension of a theorem of Pucci and Serrin and applications |
| title_fullStr | A nondifferentiable extension of a theorem of Pucci and Serrin and applications |
| title_full_unstemmed | A nondifferentiable extension of a theorem of Pucci and Serrin and applications |
| title_short | A nondifferentiable extension of a theorem of Pucci and Serrin and applications |
| title_sort | nondifferentiable extension of a theorem of pucci and serrin and applications |
| url | http://hdl.handle.net/10835/577 |
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