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Existence of stable standing waves for the Schrödinger–Choquard equation

Kun Liu, Cunqin Shi

Boundary Value Problems · 2018

doi:10.1186/s13661-018-1078-8 (opens in a new tab)

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Abstract

Abstract In this paper, by variational methods and the profile decomposition of bounded sequences in H1 $H^{1}$ we study the existence of stable standing waves for the Schrödinger–Choquard equation with an L2 $L^{2}$-critical nonlinearity. Our results extend some earlier results.

Abstract licence: CC BY-NC-ND

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