On the Dirichlet problem for solutions of a restricted nonlinear mean value property.

zbMath1349.31003arXiv1411.4034MaRDI QIDQ265183

Angel Arroyo, José González Llorente

Publication date: 1 April 2016

Published in: Differential and Integral Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.4034

zbMATH Keywords

Dirichlet problemmean value property\(p\)-harmonic functioncontinuous data

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Continuation and prolongation of solutions to PDEs (35B60) Other generalizations (nonlinear potential theory, etc.) (31C45)

Related Items (4)

Characterization of mean value harmonic functions on norm induced metric measure spaces with weighted Lebesgue measure ⋮ \(p\)-harmonic functions by way of intrinsic mean value properties ⋮ A priori Hölder and Lipschitz regularity for generalized \(p\)-harmonious functions in metric measure spaces ⋮ On a class of singular measures satisfying a strong annular decay condition

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