769 citations
- Foundation for Research and Technology HellasGR59 papers
- Iowa State UniversityUS15 papers
- Observatoire de ParisFR15 papers
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- FORTH Institute of Electronic Structure and LaserGR12 papers
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4 papers · 2 filters
Critical Hardy--Sobolev Inequalities
S. Filippas, V. Maz'ya, A. Tertikas
We consider Hardy inequalities in , , with best constant that involve either distance to the boundary or distance to a surface of co-dimension , and we show t…
A Liouville-type theorem for the p-Laplacian with potential term
Yehuda Pinchover, Achilles Tertikas, Kyril Tintarev
In this paper we prove a sufficient condition, in terms of the behavior of a ground state of a singular p-Laplacian problem with a potential term, such that a nonzero subsolution o…
The structure of the free boundary for lower dimensional obstacle problems
I. Athanasopoulos, L. A. Caffarelli, S. Salsa
We study the regularity of the "free surface" in boundary obstacle problems. We show that near a non-degenerate point the free boundary is a -dimensional surface i…
Best Constants in the Hardy-Rellich Inequalities and Related Improvements
A. Tertikas, N. B. Zographopoulos
We consider Hardy-Rellich inequalities and discuss their possible improvement. The procedure is based on decomposition into spherical harmonics, where in addition various new inequ…