Multiple Solutions for a Nonlinear Schrödinger Equation with Magnetic Fields

Claudianor O. Alves, Giovany M. Figueiredo, Marcelo F. Furtado

Type: Article

Publication Date: 2011-08-12

Citations: 81

DOI: https://doi.org/10.1080/03605302.2011.593013

View Publication

Locations

Communications in Partial Differential Equations - View

Similar Works

Action	Title	Year	Authors
+	Multiple solutions for Schrödinger-Poisson type equation with magnetic field	2015	Anqiang Zhu Xiaomei Sun
+	Multiple semiclassical solutions for a nonlinear Choquard equation with magnetic field	2016	Claudianor O. Alves Giovany M. Figueiredo Minbo Yang
+	Abstract criteria for multiple solutions to nonlinear coupled equations involving magnetic Schrödinger operators	2012	Mattias Enstedt Michael Melgaard
+	Multiple normalized solutions to a logarithmic Schrödinger equation via Lusternik-Schnirelmann category	2023	Claudianor O. Alves Chao Ji
+	MULTIPLE SOLUTIONS FOR SCHRODINGER EQUATIONS WITH MAGNETIC FIELD	2009	彭超权杨健夫
+	Multiple solutions for Schrödinger equations with magnetic field	2009	Chaoquan Peng Jianfu Yang
+ PDF Chat	Multiplicity and concentration of solutions to the nonlinear magnetic Schrödinger equation	2020	Chao Ji Vicenţiu D. Rădulescu
+ PDF Chat	Multiple solutions to a nonlinear Schrödinger equation with Aharonov–Bohm magnetic potential	2009	Mònica Clapp Andrzej Szulkin
+	Nonlinear fractional magnetic Schrödinger equation: Existence and multiplicity	2017	Vincenzo Ambrosio Pietro d’Avenia
+ PDF Chat	A multiplicity result via Ljusternick-Schnirelmann category and Morse theory for a fractional Schrödinger equation in $${\mathbb R^{N}}$$ R N	2016	Giovany M. Figueiredo Gaetano Siciliano
+	Multiplicity of concentrating solutions for a class of magnetic Schrödinger-Poisson type equation	2020	Liu Yue-li Xu Li Chao Ji
+	Existence and Multiplicity of Solutions for Nonlocal Schrodinger-Kirchhoff Equations With the External Magnetic Field	2024	Yun-Ho Kim
+	Nonlinear fractional magnetic Schrödinger equation: existence and multiplicity	2017	Vincenzo Ambrosio Pietro d’Avenia
+ PDF Chat	Multiplicity and concentration results for magnetic relativistic Schrödinger equations	2019	Aliang Xia
+	An infinite sequence of localized nodal solutions for Schrödinger-Poisson system with double potentials	2020	Yuanyang Yu Yanheng Ding
+	Multiplicity and Concentration Results for a Magnetic Schrödinger Equation With Exponential Critical Growth in ℝ2	2020	Pietro d’Avenia Chao Ji
+	Multiple nonsymmetric nodal solutions for quasilinear Schrödinger system	2022	Jianqing Chen Qian Zhang
+ PDF Chat	Multiplicity of Solutions for Schrödinger Equations with Concave-Convex Nonlinearities	2016	Dong‐Lun Wu Chun‐Lei Tang Xing-Ping Wu
+	Nonlinear fractional magnetic Schr\"odinger equation: existence and multiplicity	2017	Vincenzo Ambrosio Pietro d’Avenia
+	On Existence of Multiple Normalized Solutions to a Class of Elliptic Problems in Whole $\mathbb{R}^N$ via Lusternik-Schnirelmann Category	2023	O. Alves Claudianor Nguyen Van Thin

Works That Cite This (81)

Action	Title	Year	Authors
+	Normalized Solutions for the Schrödinger Equations with $$L^2$$-Subcritical Growth and Different Types of Potentials	2022	Claudianor O. Alves Chao Ji
+	Multiple sign-changing solutions for superlinear (p,q)-equations in symmetrical expanding domains	2024	Wulong Liu Guowei Dai Patrick Winkert
+	Multiplicity and Concentration Results for a Magnetic Schrödinger Equation With Exponential Critical Growth in ℝ2	2020	Pietro d’Avenia Chao Ji
+ PDF Chat	Multi-bump solutions for the nonlinear magnetic Schrödinger equation with exponential critical growth in $${\mathbb {R}}^{2}$$	2020	Chao Ji Vicenţiu D. Rădulescu
+ PDF Chat	Multiplicity and concentration results for a fractional Schrödinger-Poisson type equation with magnetic field	2019	Vincenzo Ambrosio
+ PDF Chat	An Existence Result for a Class of Magnetic Problems in Exterior Domains	2021	Claudianor O. Alves Vincenzo Ambrosio César E. Torres Ledesma
+	Multiplicity of concentrating positive solutions for nonlinear Kirchhoff type problems with critical growth	2020	Hui Zhang Fubao Zhang Junxiang Xu
+	POSITIVE SOLUTIONS FOR A FRACTIONAL MAGNETIC SCHRÖDINGER EQUATIONS WITH SINGULAR NONLINEARITY AND STEEP POTENTIAL	2021	Longsheng Bao Binxiang Dai Siyi Zhang
+	Ground state and multiple solutions for the fractional Schrödinger–Poisson system with critical Sobolev exponent	2018	Huxiao Luo Xianhua Tang
+ PDF Chat	Groundstates and infinitely many solutions for the Schrödinger-Poisson equation with magnetic field	2022	Lixi Wen Wen Zhang

Works Cited by This (24)

Action	Title	Year	Authors
+ PDF Chat	The concentration-compactness principle in the Calculus of Variations. The locally compact case, part 1.	1984	Pierre‐Louis Lions
+ PDF Chat	Semiclassical limit for nonlinear Schrödinger equations with electromagnetic fields	2002	Silvia Cingolani Simone Secchi
+ PDF Chat	On concentration of positive bound states of nonlinear Schrödinger equations	1993	Xuefeng Wang
+	On Concentration of Positive Bound States of Nonlinear Schrödinger Equations with Competing Potential Functions	1997	Xuefeng Wang Bin Zeng
+	Local mountain passes for semilinear elliptic problems in unbounded domains	1996	Manuel del Pino Patricio Felmer
+	Multi-bump bound states of nonlinear Schrödinger equations with electromagnetic fields and critical frequency	2008	Zhongwei Tang
+	Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential	1986	Andreas Floer Alan Weinstein
+	Semiclassical states for NLS equations with magnetic potentials having polynomial growths	2005	Silvia Cingolani Simone Secchi
+	A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations	1960	Jürgen Moser
+	Existence and semi-classical limit of the least energy solution to a nonlinear Schrödinger equation with electromagnetic fields	2000	Kazuhiro Kurata