Advances in Differential Equations
- Adv. Differential Equations
- Volume 11, Number 10 (2006), 1135-1166.
Single-peaks for a magnetic Schrödinger equation with critical growth
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].
Adv. Differential Equations Volume 11, Number 10 (2006), 1135-1166.
First available in Project Euclid: 18 December 2012
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Mathematical Reviews number (MathSciNet)
Primary: 35Q55: NLS-like equations (nonlinear Schrödinger) [See also 37K10]
Secondary: 35B33: Critical exponents 47J30: Variational methods [See also 58Exx] 58E05: Abstract critical point theory (Morse theory, Ljusternik-Schnirelman (Lyusternik-Shnirel m an) theory, etc.)
Barile, Sara; Cingolani, Silvia; Secchi, Simone. Single-peaks for a magnetic Schrödinger equation with critical growth. Adv. Differential Equations 11 (2006), no. 10, 1135--1166. https://projecteuclid.org/euclid.ade/1355867603.