On a semilinear fractional Dirichlet problem on a bounded domain

DOI10.1016/J.AMC.2013.07.041zbMath1330.35505OpenAlexW2017324340MaRDI QIDQ907429

Malek Zribi, Habib Maagli

Publication date: 25 January 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.07.041

zbMATH Keywords

Dirichlet problempositive solutionGreen functionKato classsubordinate killed Brownian motionfractional negative Dirichlet Laplacian

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Positive solutions to PDEs (35B09) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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Singular solutions of a nonlinear equation in a punctured domain of \(\mathbb{R}^{2}\)

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