Existence of ground state solutions for quasilinear Schrödinger equations with general Choquard type nonlinearity

Abstract In this paper, we study the following Choquard type quasilinear Schrödinger equation: − Δ u + u − Δ ( u 2 ) u = ( I α ∗ G ( u ) ) g ( u ) , x ∈ R N , $$ -\Delta u+u-\Delta \bigl(u^{2}\bigr)u=\bigl(I_{\alpha }*G(u) \bigr)g(u),\quad x\in {\mathbb{R}}^{N}, $$ where N ≥ 3 $N\geq 3$ , 0 < α &...

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Bibliographic Details

Published in:	Boundary Value Problems
Main Authors:	Yu-bo He, Jue-liang Zhou, Xiao-yan Lin
Format:	Article
Language:	English
Published:	SpringerOpen 2020-07-01
Subjects:	Quasilinear Schrödinger equation Ground state solutions Pohozaev identity General Choquard type nonlinearity
Online Access:	http://link.springer.com/article/10.1186/s13661-020-01420-6