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Existence and nonexistence of solutions for singular quadratic quasilinear equations
dc.contributor.author | Arcoya, David | |
dc.contributor.author | Carmona Tapia, José | |
dc.contributor.author | Leonori, Tommaso | |
dc.contributor.author | Martínez-Aparicio, Pedro J. | |
dc.contributor.author | Orsina, Luigi | |
dc.contributor.author | Petitta, Francesco | |
dc.date.accessioned | 2011-11-09T12:11:39Z | |
dc.date.available | 2011-11-09T12:11:39Z | |
dc.date.issued | 2009 | |
dc.identifier.citation | J. Differential Equations 246 (2009) 4006–4042 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10835/360 | |
dc.description.abstract | We study both existence and nonexistence of nonnegative solutions for nonlinear elliptic problems with singular lower order terms that have natural growth with respect to the gradient, whose model is $−\Delta u +\frac{|\nabla u|^2}}{u^\gamma} = f$ in $\Omega$, $u=0$ on $\partial \Omega$, where $\Omega$ is an open bounded subset of $\mathbb{R}$, $\gamma > 0$ and $f$ is a function which is strictly positive on every compactly contained subset of $\Omega$. As a consequence of our main results, we prove that the condition $\gamma<2$ is necessary and sufficient for the existence of solutions in $H^1_0(\Omega)$ for every sufficiently regular $f$ as above. | es_ES |
dc.language.iso | en | es_ES |
dc.publisher | Elsevier | es_ES |
dc.subject | Matemáticas | es_ES |
dc.title | Existence and nonexistence of solutions for singular quadratic quasilinear equations | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.relation.publisherversion | http://dx.doi.org/10.1016/j.jde.2009.01.016 | es_ES |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es_ES |