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Existence and concentration of positive solutions for a class of discontinuous quasilinear Schrödinger problems in $\mathbb{R}^{N}$

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In this paper, a class of quasilinear Schrodinger equations with discontinuous nonlinearity is considered. After changing variables, by using nonsmooth critical point theory, we obtain the existence and concentration of… Click to show full abstract

In this paper, a class of quasilinear Schrodinger equations with discontinuous nonlinearity is considered. After changing variables, by using nonsmooth critical point theory, we obtain the existence and concentration of positive solutions for this problem under suitable conditions. Our results cover and extend some results for these differentiable quasilinear Schrodinger problems.

Keywords: solutions class; existence concentration; positive solutions; concentration positive

Journal Title: Boundary Value Problems
Year Published: 2020

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