https://orcid.org/0000-0002-7648-254X
References
- Moroz V, Van Schaftingen J. Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics. J Funct Anal. 2013;265:153–184.
- Moroz V, Van Schaftingen J. A guide to the Choquard equation. J Fixed Point Theory Appl. 2017;19:773–813.
- Riesz M. L'int e´grale de Riemann-Liouville et le probl e`me de Cauchy. Acta Math. 1949;81:1–222.
- Pekar S. Untersuchung über die Elektronentheorie der Kristalle. Berlin: Akademie Verlag; 1954.
- Lieb EL. Existence and uniquenness of the minimizing solution of Choquard's nonlinear equation. Stud Appl Math. 1977;57:93–105.
- Moroz IM, Penrose R, Tod P. Spherically-symmetric solutions of the Schrödinger-Newton equations. Classical Quantum Gravity. 1998;15(9):2733–2742.
- Wei J, Winter M. Strongly interacting bumps for the Schrödinger-Newton equations. J Math Phys. 2009;50:012905.
- Ghimenti M, Moroz V, Van Schaftingen J. Nodal solutions for the Choquard equation. J Funct Anal. 2016;271:107–135.
- Ye H-Y. The existence of least energy nodal solutions for some class of Kirchhoff equations and Choquard equations in RN. J Math Anal Appl. 2015;431:935–954.
- Cao D, Li H. High energy solutions of the Choquard equation. Discrete Contin Dyn Syst. 2018;38:3023–3032.
- Chen H, Zhou F. Classification of isolated singularities of positive solutions for Choquard equations. J Differ Equ. 2016;261(12):6668–6698.
- Qin DD, Rădulescu VD. Ground states and geometrically distinct solutions for periodic Choquard-Pekar equations. J Differ Equ. 2021;275:652–683.
- Ma L, Zhao L. Classification of positive solitary solutions of the nonlinear Choquard equation. Arch Ration Mech Anal. 2010;195:455–467.
- Tang X, Chen S. Singularly perturbed Choquard equations with nonlinearity satisfying Berestycki-Lions assumptions. Adv Nonlinear Anal. 2020;9(1):413–437.
- Wu Q, Qin D, Chen J. Ground states and non-existence results for Choquard type equations with lower critical exponent and indefinite potentials. Nonlinear Anal. 2020;197:111863.
- Zhang J, Wu Q, Qin D. Semiclassical solutions for Choquard equations with Berestycki-Lions type conditions. Nonlinear Anal. 2019;188:22–49.
- Benci V, Cerami G. Positive solutions of some nonlinear elliptic problems in exterior domains. Arch Ration Mech Anal. 1987;99:283–300.
- Correia JN, Figueiredo GM. Existence of positive solution for a fractional elliptic equation in exterior domain. J Differ Equ. 2020;268:1946–1973.
- Wang T, Yi T. Uniqueness of positive solutions of the Choquard type equations. Appl Anal. 2017;96:409–417.
- Xiang C. Uniqueness and nondegeneracy of ground states for Choquard equations in three dimensions. Calc Var Partial Differ Equ. 2016;55:1–25.
- Struwe M. A global compactness result for elliptic boundary value problems involving limiting nonlinearities. Math Z. 1984;187(4):511–517.
- Zhu X, Cao D. The concentration-compact principle in nonlinear equations. Acta Math Sci. 1989;9:307–328.
- Hardy GH, Littlewood JE, Polya G. Inequalities. 2nd ed. Cambridge: Cambridge University Press; 1952.
- Willem M. Minimax theorems. Basel: Birkhäuser; 1996.