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
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