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math.AP2019
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…
math.FA2019★ 1 cited
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…