Sign Changing Solutions of Superlinear Schrödinger Equations

By Thomas Bartsch, Zhaoli Liu, Tobias Weth. 2003

222 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/b038a039a0b4955703f3b1341dfd7cbae8ad31bd

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Vicentiu D. Rădulescu
2. Zhi-Qiang Wang
3. Zhaoli Liu
4. Thomas Bartsch
5. Nikolaos S. Papageorgiou
6. Jianjun Zhang
7. Binlin Zhang
8. Giovanni Molica Bisci

In Computational Theory and Mathematics

1. Vicentiu D. Rădulescu
2. Zhaoli Liu
3. Zhi-Qiang Wang
4. Thomas Bartsch
5. Nikolaos S. Papageorgiou
6. Binlin Zhang
7. Jianjun Zhang
8. Huan-Song Zhou

In Mathematical Physics

1. Zhi-Qiang Wang
2. Thomas Bartsch
3. Vicentiu D. Rădulescu
4. Zhaoli Liu
5. Jianjun Zhang
6. Jun-cheng Wei
7. Wei Shuai
8. Huan-Song Zhou

Citations in the corpus

• The existence of least energy nodal solutions for some class of Kirchhoff equations and Choquard equations (2015, unknown): “In [4], Bartsch, Liu and Weth used minimax arguments in the presence of invariant sets of a descending flow to prove that (1.”
• Bound states for a coupled Schrödinger system (2007, background): “We remark that the notion of invariant sets has been used recently to treat sign-changing solutions in [5, 12, 24].”
• Infinitely many sign-changing solutions for the nonlinear Schrödinger–Poisson system (2014, background): “To obtain sign-changing solutions, wemake use of the positive and negative cones as in many references such as [7,8,11,23].”
• Sign-changing solutions for the nonlinear Schrödinger–Poisson system in R3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{documen (2014, background): “By variational method together with the Brouwer degree theory, Bartsh and Weth in [7] obtained three nodal solutions for a singularly perturbed problem of (1.7) on bounded domain with V (x) being constant.”
• Ground state solutions of scalar field fractional Schrödinger equations (2015, background): “On the other hand, after the seminal paper of Rabinowitz [43] where the potential V is assumed to be coercive, several different assumptions are adopted in order to obtain existence and multiplicity results (see [4–6,25,27]).”
• Existence and asymptotic behavior of sign-changing solutions for the nonlinear Schrödinger–Poisson system in $${\mathbb{R}^3}$$R3 (2015, background): “The readers can refer [5,6,8,9,25] and the reference therein.”