The Perron method for \(p\)-harmonic functions in unbounded sets in \(\mathbf {R}^n\) and metric spaces
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Publication:1706077
DOI10.1007/s00209-017-1877-0zbMath1397.31004OpenAlexW2964112729WikidataQ59611747 ScholiaQ59611747MaRDI QIDQ1706077
Publication date: 21 March 2018
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00209-017-1877-0
Dirichlet problemmetric measure space\(p\)-harmonic functions\( p\)-subharmonic functions\(p\)-superharmonic functios
Other generalizations (nonlinear potential theory, etc.) (31C45) Potential theory on fractals and metric spaces (31E05)
Related Items (6)
Semiregular and strongly irregular boundary points for \(p\)-harmonic functions on unbounded sets in metric spaces ⋮ Sphericalization and \(p\)-harmonic functions on unbounded domains in Ahlfors regular spaces ⋮ Classification of metric measure spaces and their ends using p-harmonic functions ⋮ Local and semilocal Poincaré inequalities on metric spaces ⋮ Boundary regularity for p-harmonic functions and solutions of obstacle problems on unbounded sets in metric spaces ⋮ Resolutivity and invariance for the Perron method for degenerate equations of divergence type
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