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math.AP2020
Multi-bump standing waves for nonlinear Schrodinger equations with a general nonlinearity: the topological effect of potential wells
Sangdon Jin
In this article, we are interested in multi-bump solutions of the singularly perturbed problem \begin{equation*} -ε^2Δv+V(x)v=f(v) \ \ \mbox{ in }\ \ \R^N. \end{equation*} Extendin…
math.AP2020
Nonrelativistic limit of solitary waves for nonlinear Maxwell-Klein-Gordon equations
Sangdon Jin, Jinmyoung Seok
We study the nonrelativistic limit of solitary waves from Nonlinear Maxwell-Klein-Gordon equations (NMKG) to Nonlinear Schrodinger-Poisson equations (NSP). It is known that the exi…