A Poincare-Type Inequality for Solutions of Elliptic Differential Equations

DOI10.2307/2046515zbMATH Open0601.35034OpenAlexW4250833220MaRDI QIDQ3736142

William P. Ziemer

Publication date: 1986

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2046515

zbMATH Keywords

Poincaré inequalitysecond order elliptic equationsmeasurable coefficients

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elliptic equations (35J60) Second-order elliptic equations (35J15)

Related Items (6)

On Schwarz-Pick type inequality for mappings satisfying Poisson differential inequality ⋮ Reverse Poincaré-type inequalities for the weak solution of system of partial differential inequalities ⋮ Nearly optimal stability for Serrin's problem and the soap bubble theorem ⋮ A note on a poincaré type inequality for solutions to subelliptic equations ⋮ Extrapolation of solvability of the regularity and the Poisson regularity problems in rough domains ⋮ Remarks on Poincaré inequality and its applications to elliptic boundary value problems

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