Infinitely many solutions for nonhomogeneous Choquard equations

Wang, Tao and Guo, Hui: Infinitely many solutions for nonhomogeneous Choquard equations.

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Abstract

In this paper, we study the following nonhomogeneous Choquard equation −∆u + V(x)u = (Iα ∗ |u| p )|u| p−2u + f(x), x ∈ R N, where N ≥ 3, α ∈ (0, N), p ∈ N+α N N+α N−2 , Iα denotes the Riesz potential and f 6= 0. By using a critical point theorem for non-even functionals, we prove the existence of infinitely many virtual critical points for two classes of potential V. To the best of our knowledge, this result seems to be the first one for nonhomogeneous Choquard equation on the existence of infinity many solutions.

Item Type: Journal
Publication full: Electronic journal of qualitative theory of differential equations
Date: 2019
Number: 24
ISSN: 1417-3875
Page Range: pp. 1-10
DOI: https://doi.org/10.14232/ejqtde.2019.1.24
Uncontrolled Keywords: Choquard egyenlet, Differenciálegyenlet
Additional Information: Bibliogr.: p. 8-10. ; összefoglalás angol nyelven
Date Deposited: 2019. May. 31. 05:23
Last Modified: 2020. Jul. 29. 12:24
URI: http://acta.bibl.u-szeged.hu/id/eprint/58093

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