Poincaré's inequality and Sobolev spaces with monomial weights

DOI10.1002/mana.202200100MaRDI QIDQ6073264

Hernán Castro, Unnamed Author

Publication date: 17 October 2023

Published in: Mathematische Nachrichten (Search for Journal in Brave)

zbMATH Keywords

weighted Sobolev spacesmonomial weightsweighted 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)

Cites Work

• Hardy-Sobolev-type inequalities with monomial weights
• Quasiconformal mappings and extendability of functions in Sobolev spaces
• Some remarks on extension theorems for weighted Sobolev spaces
• Extremals for Hardy-Sobolev type inequalities with monomial weights
• Sobolev anisotropic inequalities with monomial weights
• A weighted isoperimetric inequality in an orthant
• Sobolev and isoperimetric inequalities with monomial weights
• Weighted Hardy-Sobolev, log-Sobolev and Moser-Onofri-Beckner inequalities with monomial weights
• The local regularity of solutions of degenerate elliptic equations
• Weighted Sobolev spaces
• Sobolev met Poincaré
• Sharp conditions for 1-dimensional weighted Poincare inequalities
• On Weighted Sobolev Spaces
• Sharp weighted Sobolev and Gagliardo–Nirenberg inequalities on half-spaces via mass transport and consequences
• Extension Theorems on Weighted Sobolev Spaces and Some Applications
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