An improved Hardy-Sobolev inequality and its application

By Adimurthi, Nirmalendu Chaudhuri, M. Ramaswamy. 2001

251 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/c582ba19bb9c993a74622e2c3404a510f3cc24b5

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In Applied Mathematics

In Computational Theory and Mathematics

In Mechanics of Materials

Citations in the corpus

Hardy inequalities with optimal constants and remainder terms (2003, background): “In this case the constants appearing in front of these remainder terms will be not so simple looking even for p 2. After the present paper was submitted for publication, some results in this direction were obtained in [ ACR , BFT].”
Existence, non-existence and regularity of radial ground states for p-Laplacian equations with singular weights (2008, background): “, [2,12,20,34]) and the Caffarelli–Kohn–Nirenberg inequality [9].”
Factorizations and Hardy’s type identities and inequalities on upper half spaces (2019, methodology): “We refer the reader to, for instance [1,6,7,23,29,52,62].”
Optimal Hardy–Rellich inequalities, maximum principle and related eigenvalue problem (2006, background): “On the lines of improving Hardy–Sobolev inequality for functions in H 1 0 (Ω) (see [1,3,6,8,10]) there has been a considerable interest in improving (1.”
A Complete Classification of the Isolated Singularities for Nonlinear Elliptic Equations With Inverse Square Potentials (2014, background): “The condition λ ≤ (N − 2)(2)/4 can be seen as related to the Hardy inequality (see, for example, [8] and [1]).”
Caffarelli-Kohn-Nirenberg inequalities with remainder terms (2003, background): “For a 1⁄4 0; this was proved recently in [1] (see also [6]) under condition OCBe 1Rð0Þ and no estimate on the best constant is given there except for a 1⁄4 0; N 1⁄4 2: Next, we turn to Hardy–Sobolev type inequalities which correspond to apboa þ 1 in CKN inequality (1).”
Sharp singular Adams inequalities in high order Sobolev spaces (2011, background): “Inspired by the following Hardy inequality [4]: ( n− 1 n )n ∫”