Limit problems for a fractional p-laplacian as p → ∞
The purpose of this work is the analysis of the solutions to the following problems related to the fractional p-Laplacian in a Lipschitzian bounded domain Ω ⊂ RN, (FORMULA PRESENTED), where α ∈ (0, 1) and the exponent p goes to infinity.In particular we will analyze the cases: (FORMULA PRESENTED). W...
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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_10219722_v23_n2_p_Ferreira |
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| Sumario: | The purpose of this work is the analysis of the solutions to the following problems related to the fractional p-Laplacian in a Lipschitzian bounded domain Ω ⊂ RN, (FORMULA PRESENTED), where α ∈ (0, 1) and the exponent p goes to infinity.In particular we will analyze the cases: (FORMULA PRESENTED). We show the convergence of the solutions to certain limit as p →∞and identify the limit equation. In both cases,the limit problem is closely related to the Infinity Fractional Laplacian: (FORMULA PRESENTED), where (FORMULA PRESENTED). © 2016 Springer International Publishing. |
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