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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| Autores principales: | , |
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| Formato: | JOUR |
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_02322064_v35_n4_p411_DelPezzo |
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| Sumario: | 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. |
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