On the (\(1,p\))-Poincaré inequality

zbMath1287.46029MaRDI QIDQ2441068

Antti V. Vähäkangas, Petteri Harjulehto, Ritva Hurri-Syrjänen

Publication date: 21 March 2014

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

Full work available at URL: https://projecteuclid.org/euclid.ijm/1391178555

zbMATH Keywords

\(s\)-John domains(\(1,p\))-Poincaré inequality

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (7)

Space quasiconformal mappings and Neumann eigenvalues in fractal type domains ⋮ Pointwise estimates to the modified Riesz potential ⋮ Optimal spatially-dependent diffusion tensors ⋮ Weighted Inequalities of Poincaré Type on Chain Domains ⋮ Sharp capacity estimates in S-John domains ⋮ Poincaré inequalities in quasihyperbolic boundary condition domains ⋮ On improved fractional Sobolev-Poincaré inequalities

Cites Work

• Self-improving properties of inequalities of Poincaré type on \(s\)-John domains
• Some embeddings of weighted Sobolev spaces on finite measure and quasibounded domains
• Sobolev inequalities on sets with irregular boundaries
• The Poincaré inequality for vector fields satisfying Hörmander's condition
• Quasihyperbolic boundary conditions and Poincaré domains
• On a \((q,p)\)-Poincaré inequality
• Holder Domains and Poincare Domains
• Sobolev Embeddings for Generalized Ridged Domains
• Weighted Poincaré inequalities and Minkowski content
• Sobolev Spaces

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