Semilinear elliptic equations with Dirichlet operator and singular nonlinearities

DOI10.1016/j.jfa.2016.10.029zbMath1357.35155arXiv1612.07283OpenAlexW2550066790MaRDI QIDQ350522

Tomasz Klimsiak

Publication date: 7 December 2016

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.07283

zbMATH Keywords

semilinear elliptic equationsDirichlet formadditive functionalprobabilistic potential theory

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Stability in context of PDEs (35B35) Probabilistic potential theory (60J45) Semilinear elliptic equations (35J61) Singular elliptic equations (35J75)

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Doubly singular elliptic equations involving a gradient term: symmetry and monotonicity ⋮ A stability result for elliptic equations with singular nonlinearity and its applications to homogenization problems ⋮ New characterizations of the \(S\) topology on the Skorokhod space ⋮ Existence and uniqueness results for possibly singular nonlinear elliptic equations with measure data ⋮ Trace inequalities of the Sobolev type and nonlinear Dirichlet problems

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