Role of the fundamental solution in Hardy—Sobolev-type inequalities
By Adimurthi, Anusha Sekar. Proceedings of the Royal Society of Edinburgh. Section A Mathematics, 2006
58 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/7799fedfcda888a662360d6ec57c34a1e1d9423e
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In Applied Mathematics
- Baptiste Devyver
- M. Fraas
- P. Esposito
- Yujin Guo
- Yehuda Pinchover
- Serena Dipierro
- Nassif Ghoussoub
- L. D’Ambrosio
In Computational Theory and Mathematics
- Baptiste Devyver
- M. Fraas
- Yehuda Pinchover
- Serena Dipierro
- Nassif Ghoussoub
- P. Esposito
- L. D’Ambrosio
- Enrico Valdinoci
Citations in the corpus
- Hardy inequalities on Riemannian manifolds and applications (2012, methodology): “In [1], Adimurthi and Sekar use the fundamental solution of a general second order elliptic operator to derive Hardy-type inequalities and then they extend their arguments to Riemannian manifolds using the fundamental solution of p-Laplacian.”
- OPTIMAL HARDY WEIGHT FOR SECOND-ORDER ELLIPTIC OPERATOR: AN ANSWER TO A PROBLEM OF AGMON (2012, result): “In this section, we briefly discuss some extensions of the previous results to the case of p -Laplacian type equations (for some related results see [2, 14, 32]).”
- Mathematical Analysis of Partial Differential Equations Modeling Electrostatic MEMS (2010, background): “new, but it is generally restricted to specific functions E that yield known versions of Hardy inequalities; see [2] and references therein.”