Global bifurcation for fractional p-Laplacian and an application
We prove the existence of an unbounded branch of solutions to the nonlinear non-local equation (Equation presented) bifurcating from the first eigenvalue. Here (-Δ)sp denotes the fractional p-Laplacian and Ω ⊂ ℝ1 is a bounded regular domain. The proof of the bifurcation results relies in computing t...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_02322064_v35_n4_p411_DelPezzo |
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todo:paper_02322064_v35_n4_p411_DelPezzo2023-10-03T15:11:18Z Global bifurcation for fractional p-Laplacian and an application Del Pezzo, L.M. Quaas, A. Bifurcation Existence results Fractional p-Laplacian We prove the existence of an unbounded branch of solutions to the nonlinear non-local equation (Equation presented) bifurcating from the first eigenvalue. Here (-Δ)sp denotes the fractional p-Laplacian and Ω ⊂ ℝ1 is a bounded regular domain. The proof of the bifurcation results relies in computing the Leray-Schauder degree by making an homotopy respect to s (the order of the fractional p-Laplacian) and then to use results of local case (that is s = 1) found in the paper of del Pino and Manasevich [J. Diff. Equ. 92(1991) (2), 226-251]. Finally, we give some application to an existence result. © European Mathematical Society. Fil:Del Pezzo, L.M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_02322064_v35_n4_p411_DelPezzo |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Bifurcation Existence results Fractional p-Laplacian |
| spellingShingle |
Bifurcation Existence results Fractional p-Laplacian Del Pezzo, L.M. Quaas, A. Global bifurcation for fractional p-Laplacian and an application |
| topic_facet |
Bifurcation Existence results Fractional p-Laplacian |
| description |
We prove the existence of an unbounded branch of solutions to the nonlinear non-local equation (Equation presented) bifurcating from the first eigenvalue. Here (-Δ)sp denotes the fractional p-Laplacian and Ω ⊂ ℝ1 is a bounded regular domain. The proof of the bifurcation results relies in computing the Leray-Schauder degree by making an homotopy respect to s (the order of the fractional p-Laplacian) and then to use results of local case (that is s = 1) found in the paper of del Pino and Manasevich [J. Diff. Equ. 92(1991) (2), 226-251]. Finally, we give some application to an existence result. © European Mathematical Society. |
| format |
JOUR |
| author |
Del Pezzo, L.M. Quaas, A. |
| author_facet |
Del Pezzo, L.M. Quaas, A. |
| author_sort |
Del Pezzo, L.M. |
| title |
Global bifurcation for fractional p-Laplacian and an application |
| title_short |
Global bifurcation for fractional p-Laplacian and an application |
| title_full |
Global bifurcation for fractional p-Laplacian and an application |
| title_fullStr |
Global bifurcation for fractional p-Laplacian and an application |
| title_full_unstemmed |
Global bifurcation for fractional p-Laplacian and an application |
| title_sort |
global bifurcation for fractional p-laplacian and an application |
| url |
http://hdl.handle.net/20.500.12110/paper_02322064_v35_n4_p411_DelPezzo |
| work_keys_str_mv |
AT delpezzolm globalbifurcationforfractionalplaplacianandanapplication AT quaasa globalbifurcationforfractionalplaplacianandanapplication |
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1782026936520802304 |