Optimal regularity for the Poisson equation

DOI10.1090/S0002-9939-09-09805-0zbMath1166.35011MaRDI QIDQ3629427

Lihe Wang, Huilian Jia, Shu Lin Zhou, Feng-Ping Yao

Publication date: 27 May 2009

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

zbMATH Keywords

regularityOrlicz spacePoisson equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Second-order elliptic equations (35J15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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Cites Work

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• Gradient estimates for a class of parabolic systems
• Regularity in Orlicz spaces for the Poisson equation
• A geometric approach to the Calderón-Zygmund estimates
• Elliptic partial differential equations of second order
• Inhomogeneous Orlicz-Sobolev spaces and nonlinear parabolic initial value problems
• Nonlinear elliptic boundary-value problems in Orlicz-Sobolev spaces
• An existence theorem for a strongly nonlinear elliptic problem in Orlicz spaces
• Hardy inequalities in Orlicz spaces

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