Approximation of Sobolev functions in Jordan domains

DOI10.1007/BF02384447zbMath0666.30024MaRDI QIDQ1117063

John L. Lewis

Publication date: 1987

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

Sobolev space

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elliptic equations (35J60) Approximation in the complex plane (30E10)

Related Items (10)

A density problem for Sobolev spaces on planar domains ⋮ Seventy five (thousand) unsolved problems in analysis and partial differential equations ⋮ Extensions and approximations of Banach-valued Sobolev functions ⋮ Boundary behavior and the Martin boundary problem for \(p\) harmonic functions in Lipschitz domains ⋮ Non-uniqueness in a free boundary problem ⋮ A density problem for Sobolev spaces on Gromov hyperbolic domains ⋮ A density result for homogeneous Sobolev spaces on planar domains ⋮ Note on \(p\)-harmonic measure ⋮ A density result on Orlicz-Sobolev spaces in the plane ⋮ An asymptotic sharp Sobolev regularity for planar infinity harmonic functions

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• Linear and complex analysis problem book 3. Part 2
• Linear and quasilinear elliptic equations
• Elliptic Partial Differential Equations of Second Order
• On harnack type inequalities and their application to quasilinear elliptic equations
• H = W

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