Uniqueness of positive solutions with concentration for the Schrödinger-Newton problem
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Publication:1984786
DOI10.1007/s00526-020-1726-6zbMath1436.35029arXiv1703.00777OpenAlexW3010589265MaRDI QIDQ1984786
Peng Luo, Shuangjie Peng, Chunhua Wang
Publication date: 7 April 2020
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.00777
Singular perturbations in context of PDEs (35B25) Maximum principles in context of PDEs (35B50) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09) Integro-partial differential equations (35R09)
Related Items (16)
Infinitely many non-radial positive solutions for Choquard equations ⋮ Existence and asymptotical behavior of multiple solutions for the critical Choquard equation ⋮ Infinitely many solutions for Schrödinger–Newton equations ⋮ Existence and local uniqueness of normalized peak solutions for a Schrödinger-Newton system ⋮ Non-existence of multi-peak solutions to the Schrödinger-Newton system with \(L^2\)-constraint ⋮ Non-degeneracy of single-peak solutions to a Kirchhoff equation ⋮ Dichotomous concentrating solutions for a Schrödinger-Newton equation ⋮ Multibump positive solutions for Choquard equation with double potentials in ℝ3$$ {\mathrm{\mathbb{R}}}^3 $$ ⋮ Local uniqueness of concentrated solutions and some applications on nonlinear Schrödinger equations with very degenerate potentials ⋮ Local uniqueness and the number of concentrated solutions for nonlinear Schrödinger equations with non-admissible potential ⋮ Existence of multispike positive solutions for a nonlocal problem in \(\mathbb{R}^3\) ⋮ Properties of the minimizers for a constrained minimization problem arising in Kirchhoff equation ⋮ Non-degeneracy of the ground state solution on nonlinear Schrödinger equation ⋮ Non-degeneracy of peak solutions to the Schrödinger-Newton system ⋮ Construction of infinitely many solutions for a critical Choquard equation via local Pohožaev identities ⋮ Multiplicity of solutions for a class of upper critical Choquard equation with steep potential well
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