Hardy inequalities with non-standard remainder terms
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Publication:950244
DOI10.1016/j.anihpc.2007.05.003zbMath1153.26310OpenAlexW2009862389MaRDI QIDQ950244
Publication date: 22 October 2008
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/78818
symmetrizationrearrangement invariant spacesquantitative Hardy inequalitiesquantitative Hardy-Littlewood inequalities
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10)
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Cites Work
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- An improved Hardy-Sobolev inequality in \(W^{1,p}\) and its application to Schrödinger operators
- The sharp Sobolev inequality in quantitative form
- Sobolev inequalities with remainder terms
- Rearrangements and convexity of level sets in PDE
- A note on the Sobolev inequality
- Best constant in Sobolev inequality
- Sobolev type embeddings in the limiting case
- Existence and nonexistence results for critical growth biharmonic elliptic equations
- The Hardy inequality and the asymptotic behaviour of the heat equation with an inverse-square potential
- A Hardy inequality in the half-space
- An analytical proof of Hardy-like inequalities related to the Dirac operator
- Optimal Sobolev imbeddings involving rearrangement-invariant quasinorms
- Extremal functions for Hardy's inequality with weight
- On a question of Brezis and Marcus
- A quantitative Sobolev inequality in BV
- An improved Hardy-Sobolev inequality and its application
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- A strengthened version of the Hardy-Littlewood inequality
- Sharp Morrey-Sobolev inequalities and the distance from extremals
- Imbedding theorems of Sobolev type in potential theory.
- A note on limiting cases of sobolev embeddings and convolution inequalities
- Hardy inequalities with optimal constants and remainder terms
- A unified approach to improved $L^p$ Hardy inequalities with best constants
- Equivalent Norms for Sobolev Spaces
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