On the Schrödinger-Maxwell equations under the effect of a general nonlinear term
By Antonio Azzollini, Pietro d'Avenia, Alessio Pomponio. 2009
254 citations recorded by the source corpus.
Abstract In this paper we prove the existence of a nontrivial solution to the nonlinear Schrodinger–Maxwell equations in R 3 , assuming on the nonlinearity the general hypotheses introduced by Berestycki and Lions.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/2f05aa7b0241a2d443a1a059bc801c24c64425b3
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In Applied Mathematics
- Zhi-Qiang Wang
- Zhaoli Liu
- Jianjun Zhang
- Xiaojun Chang
- Wei Shuai
- Qingfang Wang
- Xianhua Tang
- Binlin Zhang
In Computational Theory and Mathematics
- Zhaoli Liu
- Zhi-Qiang Wang
- Jianjun Zhang
- Xiaojun Chang
- Wei Shuai
- Qingfang Wang
- Binlin Zhang
- Xianhua Tang
In Mathematical Physics
- Zhaoli Liu
- Zhi-Qiang Wang
- Jianjun Zhang
- Wei Shuai
- Xiaojun Chang
- Qingfang Wang
- Thomas Bartsch
- Jiaquan Liu
Citations in the corpus
- Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity (2013, background): “4 is different from Strauss’s compactness lemma (see [7] or [39]), which is usually used to prove the compactness together with the uniform decay at infinity of bounded (PS) sequences, see for example [3, 4, 7, 8].”
- Infinitely many sign-changing solutions for the nonlinear Schrödinger–Poisson system (2014, background): “Ianni [16] obtained a similar result to [20] for p ∈ [4, 6), via a heat flow approach together with a limit procedure.”
- Existence and concentration of positive solutions for semilinear Schrödinger–Poisson systems in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin} (2012, unknown): “, ε = 1, see the papers [15,16,25,31,35,10,11,5] and the reference therein.”
- Existence and asymptotic behavior of sign-changing solutions for the nonlinear Schrödinger–Poisson system in $${\mathbb{R}^3}$$R3 (2015, background): “1), especially on the existence of positive solutions, multiple solutions, sign-changing solutions, ground states and semiclassical states, see for examples, [4,11–15,17,20,21], etc.”
- Multiplicity and concentration of positive solutions for the fractional Schrödinger–Poisson systems with critical growth (2017, unknown): “[4] showed that the existence of nontrivial solutions is determined by the parameter λ .”