Harnack's inequality on homogeneous spaces

DOI10.1007/BF02505945zbMath1030.35086arXivfunct-an/9604003MaRDI QIDQ1420354

Remo Garattini

Publication date: 1 February 2004

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

Full work available at URL: https://arxiv.org/abs/funct-an/9604003

zbMATH Keywords

Dirichlet formPoincaré's inequalityHarnack's inequalityharmonics

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Dirichlet forms (31C25) Degenerate elliptic equations (35J70) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Cites Work

• 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
• Harnack's inequality and mean—value inequalities for solutions of degenerate elliptic equations
• On a pointwise estimate for parabolic differential equations
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