We prove existence results for 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, developed in [1, 2, 5]
Barile, S., Cingolani, S., Secchi, S. (2006). Single-peaks for a magnetic Schrödinger equation with critical growth. ADVANCES IN DIFFERENTIAL EQUATIONS, 11(10), 1135-1166.
Single-peaks for a magnetic Schrödinger equation with critical growth
SECCHI, SIMONE
2006
Abstract
We prove existence results for 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, developed in [1, 2, 5]
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