Multiple solutions for semilinear Schrödinger equations with electromagnetic potential
Date
2016-01-15
Authors
Zhang, Wen
Tang, Xianhua
Zhang, Jian
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article, we consider the existence of infinitely many nontrivial solutions for the following semilinear Schrödinger equation with electromagnetic potential
(-i∇ + A(x))2u + V(x)u = ƒ(x, |u|)u, in ℝN
where i is the imaginary unit, V is the scalar (or electronic) potential, A is the vector (or magnetic) potential. We establish the existence of infinitely many solutions via variational methods.
Description
Keywords
Semilinear Schrödinger equation, Magnetic potential, Variational methods
Citation
Zhang, W., Tang, X., & Zhang, J. (2016). Multiple solutions for semilinear Schrödinger equations with electromagnetic potential. Electronic Journal of Differential Equations, 2016(26), pp. 1-9.
Rights
Attribution 4.0 International