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A nondifferentiable extension of a theorem of Pucci and Serrin and applications
dc.contributor.author | Arcoya, David | |
dc.contributor.author | Carmona Tapia, José | |
dc.date.accessioned | 2012-01-03T09:44:19Z | |
dc.date.available | 2012-01-03T09:44:19Z | |
dc.date.issued | 2007-04-15 | |
dc.identifier.citation | 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 | es_ES |
dc.identifier.issn | 0022-0396 | |
dc.identifier.uri | http://hdl.handle.net/10835/577 | |
dc.description.abstract | 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. | es_ES |
dc.language.iso | en | es_ES |
dc.publisher | Elsevier | es_ES |
dc.source | DOI 10.1016/j.jde.2006.11.022. | es_ES |
dc.title | A nondifferentiable extension of a theorem of Pucci and Serrin and applications | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.relation.publisherversion | http://www.sciencedirect.com/science/article/pii/S0022039606004736 | es_ES |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es_ES |