dc.contributor.author Carmona Tapia, José dc.contributor.author Arcoya, David dc.contributor.author Martínez-Aparicio, Pedro J. dc.date.accessioned 2012-01-03T09:43:42Z dc.date.available 2012-01-03T09:43:42Z dc.date.issued 2011-01-20 dc.identifier.citation Arcoya, David , Carmona, José and Martínez-Aparicio, Pedro J.(2011) 'Bifurcation for Quasilinear Elliptic Singular BVP', Communications in Partial Differential Equations, 36: 4, 670 — 692 es_ES dc.identifier.issn 0360-5302 dc.identifier.uri http://hdl.handle.net/10835/576 dc.description.abstract For a continuous function $g\geq 0$ on $(0,+\infty)$ (which may be singular at zero), we confront a quasilinear elliptic differential operator with natural growth in $\nabla u$, $-\Delta u +g(u)|\nabla u|^{2}$, with a power type nonlinearity, $\lambda u^{p}+ f_{0}(x)$. The range of values of the parameter $\lambda$ for which the associated homogeneous Dirichlet boundary value problem admits positive solutions depends on the behavior of $g$ and on the exponent $p$. Using bifurcations techniques we deduce sufficient conditions for the boundedness or unboundedness of the cited range. es_ES dc.language.iso en es_ES dc.publisher Taylor & Francis es_ES dc.title Bifurcation for quasilinear elliptic singular BVP es_ES dc.type info:eu-repo/semantics/article es_ES dc.relation.publisherversion http://dx.doi.org/10.1080/03605302.2010.501835 es_ES dc.rights.accessRights info:eu-repo/semantics/openAccess es_ES
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