Global regularity in fractional order Sobolev spaces for \(p\)-Laplace equation on polyhedral domains

DOI10.4171/ZAA/1245zbMath1223.35182MaRDI QIDQ816278

Carsten Ebmeyer, Mark Steinhauer, Wen-bin Liu

Publication date: 10 March 2006

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_pdf.php?issn=0232-2064&vol=24&iss=2&rank=8

zbMATH Keywords

fractional order Nikolskii spaces

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Generalized solutions to partial differential equations (35D99) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (15)

On fractional regularity methods for a class of nonlocal problems ⋮ Interpolation operators in Orlicz--Sobolev spaces ⋮ Regularity theory for a class of quasilinear equations ⋮ Boundary regularity of shear thickening flows ⋮ Existence and fractional regularity of solutions for a doubly nonlinear differential inclusion ⋮ A priori estimates for a class of degenerate elliptic equations ⋮ Boundary regularity results for minimisers of convex functionals with \((p, q)\)-growth ⋮ Global stress regularity of convex and some nonconvex variational problems ⋮ Global regularity in Nikolskij spaces for elliptic equations with \(p\)-structure on polyhedral domains ⋮ Nash equilibria in N‐person games with super‐quadratic Hamiltonians ⋮ On the fractional regularity for degenerate equations with \((p,q)\)-growth ⋮ Primal-dual gap estimators for a posteriori error analysis of nonsmooth minimization problems ⋮ Regularity in Sobolev spaces of steady flows of fluids with shear-dependent viscosity ⋮ Finite Element Approximation of the $p(\cdot)$-Laplacian ⋮ Quasi-norm interpolation error estimates for the piecewise linear finite element approximation of \(p\)-Laplacian problems

Cites Work

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