Estimation of Sobolev-type embedding constant on domains with minimally smooth boundary using extension operator

DOI10.1186/s13660-015-0907-xzbMath1346.46030arXiv1411.6116OpenAlexW2192897744WikidataQ59404016 ScholiaQ59404016MaRDI QIDQ896526

Shin'ichi Oishi, Kouta Sekine, Makoto Mizuguchi, Kazuaki Tanaka

Publication date: 9 December 2015

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.6116

zbMATH Keywords

Sobolev inequalityextension operatorembedding constant

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (4)

Estimation of Sobolev embedding constant on a domain dividable into bounded convex domains ⋮ Revisiting the robustness of the multiscale hybrid-mixed method: the face-based strategy ⋮ A posteriori verification for the sign-change structure of solutions of elliptic partial differential equations ⋮ A posteriori error analysis for implicit-explicit \textit{hp}-discontinuous Galerkin timestepping methods for semilinear parabolic problems

Uses Software

• INTLAB

Cites Work

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• Universal extension for Sobolev spaces of differential forms and applications
• Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality
• Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
• Whitney's extension problem for \(C^m\)
• Symmetrization of functions and the best constant of 1-dim \(L^p\) Sobolev inequality
• Existence and multiplicity proofs for semilinear elliptic boundary value problems by computer assistance
• Functional analysis, Sobolev spaces and partial differential equations
• Quasiconformal mappings and extendability of functions in Sobolev spaces
• Best constant in Sobolev inequality
• Problèmes isoperimetriques et espaces de Sobolev
• Hard Sard: quantitative implicit function and extension theorems for Lipschitz maps
• Degree-independent Sobolev extension on locally uniform domains
• Extension of the range of a differentiable function
• NUMERICAL VERIFICATION METHODS FOR SOLUTIONS OF ORDINARY AND PARTIAL DIFFERENTIAL EQUATIONS
• Shape-explicit constants for some boundary integral operators
• On regularized distance and related functions
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• A Numerical Verification Method for a System of FitzHugh-Nagumo Type
• Computer-assisted enclosure methods for elliptic differential equations

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