Une condition géométrique pour l'inégalité de Harnack. (A geometric condition for Harnack's inequality)

zbMath0599.35134MaRDI QIDQ1080086

Ermanno Lanconelli, Bruno Franchi

Publication date: 1985

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

zbMATH Keywords

weak solutionHarnack inequalityweak Poincaré inequalitymeasurable coefficientsdegenerate second order elliptic operators

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Partial differential inequalities and systems of partial differential inequalities (35R45) Degenerate elliptic equations (35J70) Second-order elliptic equations (35J15)

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The strong maximum principle and the Harnack inequality for a class of hypoelliptic non-Hörmander operators ⋮ Unnamed Item ⋮ Lipschitz continuity, global smooth approximations and extension theorems for Sobolev functions in Carnot-Carathéodory spaces ⋮ A control condition for a weak Harnack inequality ⋮ Wiener criterion for \(X\)-elliptic operators ⋮ Continuity of infinitely degenerate weak solutions via the trace method ⋮ Structure and regularity of the singular set in the obstacle problem for the fractional Laplacian ⋮ The Dirichlet problem for sub-elliptic second order equations ⋮ The Poincaré inequality for vector fields satisfying Hörmander's condition ⋮ Local Boundedness, Maximum Principles, and Continuity of Solutions to Infinitely Degenerate Elliptic Equations with Rough Coefficients ⋮ Fractional thoughts ⋮ On the Dirichlet problem of mixed type for lower hybrid waves in axisymmetric cold plasmas ⋮ Harnack inequality for a class of degenerate elliptic operators

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