A general theory for linear elliptic partial differential equations

DOI10.1016/0022-0396(77)90134-6zbMath0299.35037OpenAlexW1977529514MaRDI QIDQ1215089

J. H. Michael

Publication date: 1977

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(77)90134-6

Mathematics Subject Classification ID

Related Items (16)

Existence of solutions to obstacle problems ⋮ The Wiener criterion and quasilinear uniformly elliptic equations ⋮ Weighted estimates of solutions to second order parabolic equations ⋮ Unnamed Item ⋮ Large solutions to non-divergence structure semilinear elliptic equations with inhomogeneous term ⋮ Barriers for uniformly elliptic equations and the exterior cone condition ⋮ An optimal asymptotic-numerical method for convection dominated systems having exponential boundary layers ⋮ Interior \(C^{2,\alpha}\) regularity theory for a class of nonconvex fully nonlinear elliptic equations. ⋮ Large solutions for non-divergence structure equations with singular lower order terms ⋮ Hölder regularity of solutions to second-order elliptic equations in nonsmooth domains ⋮ The Dirichlet problem for quasilinear uniformly elliptic equations ⋮ Singularites des champs de vecteurs et existence d'integrales premieres ⋮ Boundary regularity for viscosity solutions to degenerate elliptic PDEs ⋮ Blow-up solutions for fully nonlinear equations: existence, asymptotic estimates and uniqueness ⋮ The quasilinear dirichlet problem with decreased regularity at the boundary ⋮ The Perron process applied to oblique derivative problems

Cites Work

• Über das Dirichletsche Problem im Großen für nicht-lineare elliptische Differentialgleichungen
• Über lineare elliptische Differentialgleichungen zweiter Ordnung
• Linear and quasilinear elliptic equations
• Numerische Abschätzungen in elliptischen linearen Differentialgleichungen

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