Relaxed Dirichlet problem for the subelliptic \(p\)-Laplacian

DOI10.1007/BF02505947zbMath1072.35061OpenAlexW2008439701MaRDI QIDQ2568707

Nicoletta Tchou, Marco Biroli

Publication date: 19 October 2005

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02505947

Mathematics Subject Classification ID

Subelliptic equations (35H20)

Related Items (2)

Harnack inequality for harmonic functions relative to a nonlinear \(p\)-homogeneous Riemannian Dirichlet form ⋮ Limits of nonlinear weighted Dirichlet problems in varying domains.

Cites Work

• Balls and metrics defined by vector fields. I: Basic properties
• Fundamental solutions and geometry of the sum of squares of vector fields
• Fundamental solutions for second order subelliptic operators
• Wiener criteria and energy decay for relaxed Dirichlet problems
• A regularity condition at the boundary for solutions of quasilinear elliptic equations
• Dirichlet forms and symmetric Markov processes
• The Poincaré inequality for vector fields satisfying Hörmander's condition
• Sobolev and isoperimetric inequalities for Dirichlet forms on homogeneous spaces
• Sobolev inequalities on homogeneous spaces
• Weighted Poincaré inequalities for Hörmander vector fields and local regularity for a class of degenerate elliptic equations
• A Saint-Venant type principle for Dirichlet forms on discontinuous media
• An embedding theorem and the harnack inequality for nonlinear subelliptic equations
• Regularity at the boundary for solutions of nonlinear subelliptic equations
• Capacitary estimates and the local behavior of solutions of nonlinear subelliptic equations
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