We state a Wiener criterion for regular points of a relaxed Dirichlet problem relative to a p-homogeneous, strongly local, Riemannian Dirichlet form (with a source which is a Kato measure). The interest of the relaxed Dirichlet problems is twofold: (1) From the Wiener criterion for relaxed Dirichlet problems, a Wiener criterion for regular points at the boundary follows. (2) The class of relaxed Dirichlet problems results closed for $\Gamma$-convergence.
Harnack inequality for harmonic functions relative to a nonlinear p-homogeneous Riemannian Dirichlet form / Biroli, M; Marchi, Silvana. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 71:(2009), pp. E436-E444. [10.1016/j.na.2008.11.076]
Harnack inequality for harmonic functions relative to a nonlinear p-homogeneous Riemannian Dirichlet form
MARCHI, Silvana
2009-01-01
Abstract
We state a Wiener criterion for regular points of a relaxed Dirichlet problem relative to a p-homogeneous, strongly local, Riemannian Dirichlet form (with a source which is a Kato measure). The interest of the relaxed Dirichlet problems is twofold: (1) From the Wiener criterion for relaxed Dirichlet problems, a Wiener criterion for regular points at the boundary follows. (2) The class of relaxed Dirichlet problems results closed for $\Gamma$-convergence.File | Dimensione | Formato | |
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