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math.AP2006
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…
math.AP2006
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…
math.AP2006
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…