Existence of positive solution for a planar Schrödinger-Poisson system with exponential growth

Claudianor O. Alves, Giovany M. Figueiredo

Type: Article

Publication Date: 2019-01-01

Citations: 45

DOI: https://doi.org/10.1063/1.5039627

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Journal of Mathematical Physics - View

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+	Improved results on planar Kirchhoff-type elliptic problems with critical exponential growth	2021	Sitong Chen Xianhua Tang Jiuyang Wei
+	On the Klein‐Gordon‐Maxwell system with critical exponential growth in ℝ2	2020	Sitong Chen Xiaoyan Lin Xianhua Tang
+	Fractional Choquard logarithmic equations with Stein-Weiss potential	2023	Shuai Yuan Vicenţiu D. Rădulescu Sitong Chen Lixi Wen
+	Existence and multiplicity of non-trivial solutions for fractional Schrödinger–Poisson systems with a combined nonlinearity	2024	M. Soluki G. A. Afrouzi S. H. Rasouli
+	Ground states of planar Schrödinger–Poisson systems with an unbounded potential	2024	Miao Du Jiaxin Xu
+	Non-radial ground state solutions for fractional Schrödinger–Poisson systems in $$\mathbb {R}^{2}$$	2024	Guofeng Che Juntao Sun Tsung‐fang Wu
+	Groundstates for Planar Schrödinger–Poisson System Involving Convolution Nonlinearity and Critical Exponential Growth	2024	Peng Jin Muhua Shu Lixi Wen
+	Concentrating normalized solutions to planar Schrödinger–Poisson system with steep potential well: critical exponential case	2024	Liejun Shen Marco Squassina
+	On the existence and multiplicity of solutions for the $ N $-Choquard logarithmic equation with exponential critical growth	2021	Eduardo de Souza Böer Olı́mpio H. Miyagaki
+	The sign-changing solutions and ground states for planar Schrödinger–Newton system with an exponential critical growth	2020	Wenbo Wang Quanqing Li Yongkun Li

Works Cited by This (24)

Action	Title	Year	Authors
+	Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation	1977	Élliott H. Lieb
+	On the planar Schrödinger–Poisson system	2014	Silvia Cingolani Tobias Weth
+ PDF Chat	Solutions of Hartree-Fock equations for Coulomb systems	1987	Pierre Louis Lions
+	On perturbations of a class of a periodic m-Laplacian equation with critical growth	2001	Claudianor O. Alves João Marcos do Ó Olı́mpio H. Miyagaki
+	Groundstates of nonlinear Choquard equations: Existence, qualitative properties and decay asymptotics	2013	Vitaly Moroz Jean Van Schaftingen
+	On a periodic Schr�dinger equation with nonlocal superlinear part	2004	Nils Ackermann
+	Nontrivial Solution of Semilinear Elliptic Equations with Critical Exponent in R<sup />	1992	Daomin Cao
+	On the existence of a solution for elliptic system related to the Maxwell–Schrödinger equations	2006	Hiroaki Kikuchi
+	Ground state solutions for the nonlinear Schrödinger–Maxwell equations	2008	Antonio Azzollini Alessio Pomponio
+	Classification of Positive Solitary Solutions of the Nonlinear Choquard Equation	2009	Li Ma Lin Zhao