4 citations · 12 across the 15 of their papers we have counts for
21 papers
Existence in the nonlinear Schrödinger equation with bounded magnetic field
Ian Schindler, Cyril Tintarev
The paper studies existence of ground states for the nonlinear Schrödinger equation with a general external magnetic field. In particular, no lattice periodicity or symmetry of the…
On compact subsets of Sobolev spaces on manifolds
Leszek Skrzypczak, Cyril Tintarev
It is common that a Sobolev space defined on has a non-compact embedding into an -space, but it has subspaces for which this embedding becomes compact. There ar…
Nonlinear Schrödinger equation with bounded magnetic field
Giuseppe Devillanova, Cyril Tintarev
The paper studies existence of solutions for the nonlinear Schrödinger equation with a general bounded external magnetic field. In particular, no lattice periodicity of the magneti…
Profile decomposition of Struwe-Solimini for manifolds with bounded geometry
Kunnath Sandeep, Cyril TIntarev
For many known non-compact embeddings of two Banach spaces , every bounded sequence in has a subsequence that takes form of a \emph{profile decomposition} -…
A profile decomposition for the limiting Sobolev embedding
Giuseppe Devillanova, Cyril Tintarev
For many known non-compact embeddings of two Banach spaces , every bounded sequence in has a subsequence that takes form of a profile decomposition - a sum…
Defect of compactness for Sobolev spaces on manifolds with bounded geometry
Leszek Skrzypczak, Cyril Tintarev
Defect of compactness, relative to an embedding of two Banach spaces E and F, is a difference between a weakly convergent sequence in E and its weak limit taken up to a remainder t…