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On a special Schauder basis for the Sobolev spaces \(W_ 0^{1,p}(\Omega)\)

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Publication:1892734
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zbMath0829.46017MaRDI QIDQ1892734

Hamid Bellout

Publication date: 21 January 1996

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

Sobolev spacesexistence of a Schauder basis


Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)


Related Items (7)

Existence of global weak solutions for a class of quasilinear hyperbolic integro-differential equations describing visco-elastic materials ⋮ Existence and fractional regularity of solutions for a doubly nonlinear differential inclusion ⋮ Existence of weak solutions to \(p\)-Navier-Stokes equations ⋮ Existence of infinitely many solutions for the \((p, q)\)-Laplace equation ⋮ Cauchy problem for quasi-linear wave equations with nonlinear damping and source terms ⋮ Cauchy problem for quasi-linear wave equations with viscous damping ⋮ Spectral methods for nonlinear functionals and functional differential equations




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