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• W2321676766 abstract "Abstract We consider nonlinear nonlocal boundary value problems associated with fractional operators (including the fractional p -Laplace and the regional fractional p -Laplace operators) and subject to general (fractional-like) boundary conditions on bounded domains with Lipschitz boundary. Under suitable conditions on the nonlinearities of our system, we establish the existence of bounded solutions and provide explicit <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:msup> <m:mi>L</m:mi> <m:mi mathvariant=normal>∞</m:mi> </m:msup> </m:math> ${L^{infty}}$ -estimates of solutions which are optimal with respect to the inhomogeneous “sources” present in the system. As application, these results are shown to apply to a class of nonlinear nonlocal equations for the Dirichlet fractional p -Laplacian and regional fractional p -Laplace with a dissipative nonlinearity, and to a class of semilinear nonlocal boundary value problems with fractional Wentzell–Robin boundary conditions corresponding to the so-called fractional Wentzell Laplacian." @default.
• W2321676766 created "2016-06-24" @default.
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• W2321676766 date "2016-03-23" @default.
• W2321676766 modified "2023-10-03" @default.
• W2321676766 title "Bounded Solutions for Nonlocal Boundary Value Problems on Lipschitz Manifolds with Boundary" @default.
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• W2321676766 doi "https://doi.org/10.1515/ans-2015-5033" @default.
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