Existence in the nonlinear Schrödinger equation with bounded magnetic field

Ian Schindler1, Cyril Tintarev1
1Institut de Mathématiques de Toulouse and TSE, Université Toulouse I Capitole, Toulouse, Cedex 06, France

Tóm tắt

The paper studies existence of ground states for the nonlinear Schrödinger equation 0.1 $$\begin{aligned} -(\nabla + {\mathbf {i}}A(x))^2u+V(x)u=|u|^{p-1}u ,\quad 2

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