Large perturbations of elliptic operators and the solvability of the \(L^ p\) Dirichlet problem

DOI10.1006/jfan.1993.1152zbMath0798.35043OpenAlexW2052401831MaRDI QIDQ1316401

Robert A. Fefferman

Publication date: 9 November 1994

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1993.1152

zbMATH Keywords

perturbation theoremsbounded measurable coefficients\(L^ p\) Dirichlet problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) PDEs with low regular coefficients and/or low regular data (35R05) Perturbations in context of PDEs (35B20)

Related Items (7)

The \(L^p\)-solvability of the Dirichlet problem for planar elliptic equations, sharp results ⋮ The \(L^ p\) Dirichlet problem for small perturbations of the Laplacian ⋮ The Dirichlet problem for higher order equations in composition form ⋮ Layer Potentials and Boundary-Value Problems for Second Order Elliptic Operators with Data in Besov Spaces ⋮ Duality for \(A_\infty\) weights on the real line ⋮ Weighted maximal regularity estimates and solvability of non-smooth elliptic systems. I ⋮ Elliptic Partial Differential Equations with Almost-Real Coefficients

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