A \({\mathtt p}(\cdot )\)-Poincaré-type inequality for variable exponent Sobolev spaces with zero boundary values in Carnot groups

DOI10.1007/s13324-018-0235-7zbMath1404.46030OpenAlexW2804675447MaRDI QIDQ1668703

Robert D. Freeman, Thomas Bieske

Publication date: 29 August 2018

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-018-0235-7

zbMATH Keywords

Poincaré inequalityDirichlet energy minimizerSobolev spaces with zero boundary values

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nilpotent and solvable Lie groups (22E25) Other generalizations (nonlinear potential theory, etc.) (31C45) Sub-Riemannian geometry (53C17) Subelliptic equations (35H20) Potential theory on fractals and metric spaces (31E05) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items

Equivalence of weak and viscosity solutions to the \({\mathtt{p}}(x)\)-Laplacian in Carnot groups ⋮ Correction to: ``A \({\mathtt{p}}({\cdot })\)-Poincaré-type inequality for variable exponent Sobolev spaces with zero boundary values in Carnot groups

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