Hölder regularity of solutions to second-order elliptic equations in nonsmooth domains

DOI10.1155/2007/57928zbMath1159.35019OpenAlexW2085695939WikidataQ59212921 ScholiaQ59212921MaRDI QIDQ2472175

Mikhail V. Safonov, Sungwon Cho

Publication date: 20 February 2008

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/55272

zbMATH Keywords

elliptic equationsHölder estimates

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Initial-boundary value problems for second-order parabolic equations (35K20)

Related Items (5)

Boundary Value Problems for Parabolic Operators in a Time-Varying Domain ⋮ Weighted estimates of solutions to second order parabolic equations ⋮ Estimates of solutions and asymptotic symmetry for parabolic equations on bounded domains ⋮ Boundary regularity for viscosity solutions to degenerate elliptic PDEs ⋮ Regularity properties for a class of non-uniformly elliptic Isaacs operators

Cites Work

• On isolated singularities of solutions of second order elliptic differential equations
• Barriers for uniformly elliptic equations and the exterior cone condition
• Intermediate Schauder estimates
• A general theory for linear elliptic partial differential equations
• Local behavior of solutions of quasi-linear equations
• Barriers on cones for uniformly elliptic operators
• On Harnack's theorem for elliptic differential equations
• Elliptic Partial Differential Equations of Second Order
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