Harnack inequality for harmonic functions relative to a nonlinear \(p\)-homogeneous Riemannian Dirichlet form

DOI10.1016/j.na.2008.11.076zbMath1238.31007OpenAlexW1583198986WikidataQ115343146 ScholiaQ115343146MaRDI QIDQ5891562

Marco Biroli, Silvana Marchi

Publication date: 20 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.11.076

zbMATH Keywords

Dirichlet spacesnonlinear potential theoryWiener criterion

Mathematics Subject Classification ID

Probabilistic potential theory (60J45) Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Other generalizations (nonlinear potential theory, etc.) (31C45)

Cites Work

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• Wiener criteria and energy decay for relaxed Dirichlet problems
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• A regularity condition at the boundary for solutions of quasilinear elliptic equations
• Kato space for Dirichlet forms
• Differentiability of Lipschitz functions on metric measure spaces
• Lectures on analysis on metric spaces
• Remarks on measure-valued Lagrangians on homogeneous spaces
• Relaxed Dirichlet problem for the subelliptic \(p\)-Laplacian
• Harnack's Inequality for Schrodinger Operators and the Continuity of Solutions
• Harnack's Inequality for Sum of Squares of Vector Fields Plus a Potential
• Harnack inequality for harmonic functions relative to a nonlinear \(p\)-homogeneous Riemannian Dirichlet form
• Schrödinger type and relaxed Dirichlet problems for the subelliptic \(p\)-Laplacian

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