1,720,987 research outputs found
WIENER ESTIMATES AT BOUNDARY POINTS FOR DEGENERATE ELLIPTIC EQUATIONS
No full textcorrezione : (7) 2-B (1988) , pp. 713
AN ESTIMATE IN HOMOGENIZATION PROBLEM FOR ELLIPTIC EQUATIONS WITH DISCONTINUOUS BOUNDED COEFFICIENTS
No full textQuaderno dell' ISTITUTO PER LE APPLICAZIONI DEL CALCOL
HARNACK INEQUALITY FOR HARMONIC FUNCTIONS RELATIVE TO A NONLINEAR P-HOMOGENEOUS DIRICHLET FORM
No full textWe consider a Riemannian (p-homogeneous) Dirichlet functional?(u)= ?X?(u)(dx)(p>1) defined on D, where D is a dense subspace of Lp(X,m) and X is a locally compact Hausdorff topological space endowed with the distance d connected with ?(u) (see Section 2 for the definitions). We denote by a(u,v)=?X??(u,v)(dx) the Dirichlet form related to ?(u). We prove a Harnack type inequality for positive harmonic function relative to the form a(u,v); as a consequence we obtain also the Hölder continuity of harmonic function relative to the form a(u,v). © 2005 Elsevier Ltd. All rights reserved
Harnack inequality for harmonic functions relative to a nonlinear p-homogeneous Riemannian Dirichlet form
No full textWe 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 -convergence
Wiener criterion for the relaxed Dirichlet problem relative to a p-homogeneous Riemannian Dirichlet form
No full text
- …
