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 S.. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 71(2009), pp. E436-E444. [10.1016/j.na.2008.11.076]