9 citations · 18 across the 16 of their papers we have counts for
16 papers
On compactness in the Trudinger-Moser inequality
Adimurthi, Kyril Tintarev
The paper studies continutity of Moser nonlinearity in two dimensions with respect to weak convergence. Unlike the critical nonlinearity in the Sobolev inequality, which lacks weak…
Ground state for the Schrödinger operater with the weighted Hardy potential
Jan Chabrowski, Kyril Tintarev
We establish the existence of ground states on Euclidean space for the Laplace operator involving the Hardy type potential. This gives rise to the existence of the principal eigenf…
On interpolation of cocompact imbeddnings
Michael Cwikel, Kyril Tintarev
Cocompactness is a useful weaker counterpart of compactness in the study of imbeddings between function spaces. In this paper we show that subcritical continuous imbeddings of frac…
Is the Trudinger-Moser nonlinearity a true critical nonlinearity?
Kyril Tintarev
While the critical nonlinearity for the Sobolev space in dimension lacks weak continuity at any point, Trudinger-Moser nonlinearity in…
On the Hardy-Sobolev-Maz'ya inequality and its generalizations
Yehuda Pinchover, Kyril Tintarev
The paper deals with natural generalizations of the Hardy-Sobolev-Maz'ya inequality and some related questions, such as the optimality and stability of such inequalities, the exist…
On a version of Trudinger-Moser inequality with Möbius shift invariance
Adimurthi, K. Tintarev
The paper raises a question about the optimal critical nonlinearity for the Sobolev space in two dimensions, connected to loss of compactness, and discusses the pertinent concentra…