Bifurcation for quasilinear elliptic singular BVP
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 pa...
| Main Authors: | , , |
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| Format: | info:eu-repo/semantics/article |
| Language: | English |
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Taylor & Francis
2012
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| Online Access: | http://hdl.handle.net/10835/576 |
| _version_ | 1789406665320169472 |
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| author | Carmona Tapia, José Arcoya, David Martínez-Aparicio, Pedro J. |
| author_facet | Carmona Tapia, José Arcoya, David Martínez-Aparicio, Pedro J. |
| author_sort | Carmona Tapia, José |
| collection | DSpace |
| description | 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. |
| format | info:eu-repo/semantics/article |
| id | oai:repositorio.ual.es:10835-576 |
| institution | Universidad de Cuenca |
| language | English |
| publishDate | 2012 |
| publisher | Taylor & Francis |
| record_format | dspace |
| spelling | oai:repositorio.ual.es:10835-5762023-04-12T19:39:18Z Bifurcation for quasilinear elliptic singular BVP Carmona Tapia, José Arcoya, David Martínez-Aparicio, Pedro J. 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. 2012-01-03T09:43:42Z 2012-01-03T09:43:42Z 2011-01-20 info:eu-repo/semantics/article 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 0360-5302 http://hdl.handle.net/10835/576 en http://dx.doi.org/10.1080/03605302.2010.501835 info:eu-repo/semantics/openAccess Taylor & Francis |
| spellingShingle | Carmona Tapia, José Arcoya, David Martínez-Aparicio, Pedro J. Bifurcation for quasilinear elliptic singular BVP |
| title | Bifurcation for quasilinear elliptic singular BVP |
| title_full | Bifurcation for quasilinear elliptic singular BVP |
| title_fullStr | Bifurcation for quasilinear elliptic singular BVP |
| title_full_unstemmed | Bifurcation for quasilinear elliptic singular BVP |
| title_short | Bifurcation for quasilinear elliptic singular BVP |
| title_sort | bifurcation for quasilinear elliptic singular bvp |
| url | http://hdl.handle.net/10835/576 |
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