Complete study of the existence and uniqueness of solutions for semilinear elliptic equations involving measures concentrated on boundary

DOI10.1080/17476933.2016.1278441zbMath1387.35603OpenAlexW2586119502MaRDI QIDQ4588923

Suad Alhomedan, Hichem Hajaiej, Huyuan Chen, Peter Alexander Markowich

Publication date: 3 November 2017

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2016.1278441

zbMATH Keywords

Schauder's fixed point theoremRadon measurefractional LaplacianDirac massGreen kernel

Mathematics Subject Classification ID

Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11) PDEs with measure (35R06)

Related Items (4)

Fractional elliptic problems with nonlinear gradient sources and measures ⋮ Boundary singularities of solutions to semilinear fractional equations ⋮ Boundary blow-up solutions to nonlocal elliptic systems of cooperative type ⋮ A capacity-based condition for existence of solutions to fractional elliptic equations with first-order terms and measures

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