Single--peaks for a magnetic Schrödinger equation with critic al growth

Abstract

We prove existence results of complex-valued solutions for a semilinear Schrödinger equation with critical growth under the perturbation of an external electromagnetic field. Solutions are found via an abstract perturbation result in critical point theory.

arXiv commentTo appear

Cited by in corpus (2)

• Semiclassical stationary states for nonlinear Schrödinger equations under a strong external magnetic field
• Multiplicity and concentration results for a magnetic Schrödinger equation with exponential critical growth in ${\mathbb{R}}^2$