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Applicable Analysis
An International Journal
Volume 96, 2017 - Issue 3
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Original Articles

Uniqueness of positive solutions of the Choquard type equations

Tao WangSchool of Mathematics and Statistics, Central South University, Changsha, P. R. China.Correspondence[email protected]
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Taishan YiSchool of Mathematics and Statistics, Central South University, Changsha, P. R. China.View further author information
Pages 409-417 | Received 25 Jun 2015, Accepted 11 Dec 2015, Published online: 01 Feb 2016

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Tarek Saanouni & Congming Peng. (2024) Scattering for a class of inhomogeneous generalized Hartree equations. Applicable Analysis 103:4, pages 790-806.
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Jeziel N. Correia & Claudionei P. Oliveira. (2023) Positive solution for a class of Choquard equations with Hardy–Littlewood–Sobolev critical exponent in exterior domains. Complex Variables and Elliptic Equations 68:9, pages 1485-1520.
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Zhen-Feng Jin, Hong-Rui Sun, Jianjun Zhang & Weimin Zhang. (2023) Normalized solution for fractional Choquard equation with potential and general nonlinearity. Complex Variables and Elliptic Equations 0:0, pages 1-17.
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Xiaolong Yang. (2022) Existence of positive solution for the Choquard equation in exterior domain. Complex Variables and Elliptic Equations 67:8, pages 2043-2059.
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Weihong Xie, Haibo Chen & Tsung-Fang Wu. (2021) Ground state solutions for a class of Schrödinger-Poisson systems with Hartree-type nonlinearity. Applicable Analysis 100:13, pages 2777-2803.
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Tao Wang & Hui Guo. (2021) Multiple nodal solutions of quadratic Choquard equations with perturbation. Complex Variables and Elliptic Equations 66:9, pages 1565-1579.
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Articles from other publishers (26)

Bo Zhang & Wei Zhang. (2024) Localized nodal solutions for semiclassical Choquard equations with critical growth. Electronic Journal of Differential Equations 2024:01-??, pages 19.
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Hui Guo, Tao Wang & Taishan Yi. (2023) Uniqueness, symmetry and convergence of positive ground state solutions of the Choquard type equation on a ball. Journal of Differential Equations 368, pages 229-246.
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Anu Rani & Sarika Goyal. (2023) Biharmonic system with Hartree-type critical nonlinearity. Electronic Journal of Qualitative Theory of Differential Equations:2, pages 1-36.
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Qiuping Geng, Yuanyuan Tu & Jun Wang. (2022) Existence and multiplicity of the positive normalized solutions to the coupled Hartree–Fock type nonlocal elliptic system. Journal of Fixed Point Theory and Applications 24:4.
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Tarek Saanouni & Binhua Feng. (2022) Scattering for a focusing Hartree equation. Annals of Functional Analysis 13:4.
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Liliane Maia, Benedetta Pellacci & Delia Schiera. (2022) Symmetric positive solutions to nonlinear Choquard equations with potentials. Calculus of Variations and Partial Differential Equations 61:2.
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Jianfu Yang & Liping Zhu. (2022) Multiple solutions to Choquard equation in exterior domain. Journal of Mathematical Analysis and Applications 507:1, pages 125726.
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Meng Li, Jinchun He, Haoyuan Xu & Meihua Yang. (2022) The existence and asymptotic behaviours of normalized solutions for critical fractional Schrödinger equation with Choquard term. Discrete and Continuous Dynamical Systems 0:0, pages 0-0.
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Jun Wang. (2021) Existence of normalized solutions for the coupled Hartree–Fock type system. Mathematische Nachrichten 294:10, pages 1987-2020.
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Song You, Peihao Zhao & Qingxuan Wang. (2021) Existence and asymptotic behavior of positive least energy solutions for coupled nonlinear Choquard equations. Electronic Journal of Differential Equations 2021:01-104, pages 47.
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Guoyuan Chen. (2021) Nondegeneracy of Ground States and Multiple Semiclassical Solutions of the Hartree Equation for General Dimensions. Results in Mathematics 76:1.
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Jun Wang & Song Wei. (2021) Existence of ground state solutions of the coupled nonlinear Hartree type system with attractive couplings. SN Partial Differential Equations and Applications 2:1.
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Peng Chen & Xiaochun Liu. (2021) Positive solutions for Choquard equation in exterior domains. Communications on Pure & Applied Analysis 20:6, pages 2237.
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Tao Wang. (2020) Asymptotic Analysis of Multiple Solutions for Perturbed Choquard Equations. Indian Journal of Pure and Applied Mathematics 51:1, pages 135-142.
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Tao Wang & Taishan Yi. (2019) Symmetry of separable functions and its applications to Choquard type equations. Calculus of Variations and Partial Differential Equations 59:1.
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K. Sreenadh & T. Mukherjee. 2020. Mathematical Modelling, Optimization, Analytic and Numerical Solutions. Mathematical Modelling, Optimization, Analytic and Numerical Solutions 197 229 .
Tao Wang & Hui Guo. (2019) Existence and nonexistence of nodal solutions for Choquard type equations with perturbation. Journal of Mathematical Analysis and Applications 480:2, pages 123438.
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Changfeng Gui & Hui Guo. (2019) On Nodal Solutions of the Nonlinear Choquard Equation. Advanced Nonlinear Studies 19:4, pages 677-691.
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Yuan Li, Dun Zhao & Qingxuan Wang. (2019) Concentration behavior of nonlinear Hartree-type equation with almost mass critical exponent. Zeitschrift für angewandte Mathematik und Physik 70:4.
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Tao Wang & Hui Guo. (2019) Infinitely many solutions for nonhomogeneous Choquard equations. Electronic Journal of Qualitative Theory of Differential Equations:24, pages 1-10.
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Yujin Guo, Yong Luo & Qi Zhang. (2018) Minimizers of mass critical Hartree energy functionals in bounded domains. Journal of Differential Equations 265:10, pages 5177-5211.
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Yong Luo. (2018) Uniqueness of ground states for nonlinear Hartree equations. Journal of Mathematical Physics 59:8.
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Yanbin Sang, Xiaorong Luo & Yongqing Wang. (2018) The Choquard Equation with Weighted Terms and Sobolev-Hardy Exponent. Journal of Function Spaces 2018, pages 1-22.
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Sitong Chen & Shuai Yuan. (2018) Ground state solutions for a class of Choquard equations with potential vanishing at infinity. Journal of Mathematical Analysis and Applications 463:2, pages 880-894.
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David Ruiz & Jean Van Schaftingen. (2018) Odd symmetry of least energy nodal solutions for the Choquard equation. Journal of Differential Equations 264:2, pages 1231-1262.
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Vitaly Moroz & Jean Van Schaftingen. (2016) A guide to the Choquard equation. Journal of Fixed Point Theory and Applications 19:1, pages 773-813.
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