The oblique derivative problem. I

DOI10.1007/BF01391472zbMath0362.35025MaRDI QIDQ1239855

Bengt Winzell

Publication date: 1977

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163023

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) A priori estimates in context of PDEs (35B45) Boundary value problems for PDEs with pseudodifferential operators (35S15)

Related Items (12)

Bifurcation of Solutions for an Inverse Problem in Potential Theory ⋮ Singular solutions to some non linear oblique derivative problems ⋮ The oblique derivative problem. II ⋮ Degenerating problem with directional derivative for quasilinear elliptic equations of second order ⋮ The tangential oblique derivative problem for second order quasilinear parabolic operators ⋮ \(W^{2, p}\)-a priori estimates for the emergent Poincaré problem ⋮ -Solvability for the Parabolic Poincaré Problem ⋮ A singular boundary value problem for uniformly elliptic operators ⋮ \(W^{2,p}\)-estimates for fully nonlinear elliptic equations with oblique boundary conditions ⋮ The Poincaré Problem inL^p-Sobolev Spaces II: Full Dimension Degeneracy ⋮ A boundary value problem with an oblique derivative ⋮ The Poincaré problem in \(L^p\)-Sobolev spaces. I: Codimension one degeneracy

Cites Work

• Pseudo-differential operators and non-elliptic boundary problems
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• On a class of non-elliptic boundary problems
• Fourier integral operators with complex phase functions and parametrix for an interior boundary value problem
• THE OBLIQUE DERIVATIVE PROBLEM

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