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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.AP2017★ 1 cited
Compactness properties and ground states for the affine Laplacian
Ian Schindler, Cyril Tintarev
The paper studies compactness properties of the affine Sobolev inequality of Gaoyong Zhang et al in the case , and existence and regularity of related minimizers, in particula…
math.AP2012
Concentration profiles for the Trudinger-Moser functional are shaped like toy pyramids
Cyril Tintarev, David G. Costa
This paper answers the conjecture of Adimurthi and Struwe that the semilinear Trudinger-Moser functional (as well as functionals with more general critical nonlinearities) satisfie…