Ground state for Choquard equation with doubly critical growth nonlinearity

Li, Fuyi and Long, Lei and Huang, Yongyan and Liang, Zhanping: Ground state for Choquard equation with doubly critical growth nonlinearity. Electronic journal of qualitative theory of differential equations 33. pp. 1-15. (2019)

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Abstract

In this paper we consider nonlinear Choquard equation −∆u + V(x)u = (Iα ∗ F(u))f(u) in R N, where V ∈ C(RN), Iα denotes the Riesz potential, f(t) = |t| p−2 t + |t| q−2 t for all t ∈ R, N > 5 and α ∈ (0, N − 4). Under suitable conditions on V, we obtain that the Choquard equation with doubly critical growth nonlinearity, i.e., p = (N + α)/N, q = (N + α)/(N − 2), has a nonnegative ground state solution by variational methods.

Item Type: Article
Journal or Publication Title: Electronic journal of qualitative theory of differential equations
Date: 2019
Number: 33
Page Range: pp. 1-15
ISSN: 1417-3875
DOI: https://doi.org/10.14232/ejqtde.2019.1.33
Uncontrolled Keywords: Differenciálegyenlet
Additional Information: Bibliogr.: p. 14-15. ; összefoglalás angol nyelven
Date Deposited: 2019. Sep. 27. 12:26
Last Modified: 2019. Sep. 27. 13:24
URI: http://acta.bibl.u-szeged.hu/id/eprint/62111

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