Description

• Title:
  Existence and multiplicity of radially symmetric solutions for nonlinear Schrödinger equations
• Creator:
  Kinoshita, Tomoharu
• Description:
  In this paper we study the following nonlinear Schrödinger equations in $\mathbb{R}^N$: $$ -\Delta u + V(x)u= g(u),\quad u \in H^1(\mathbb{R}^N), $$ where $N \ge 2$, $V \in C^1(\mathbb{R}^N,\mathbb{R})$ and $g \in C(\mathbb{R},\mathbb{R}).$ For a wide class of nonlinearities, which satisfy the Berestycki-Lions type condition, we show the existence and multiplicity of radially symmetric solutions. We use a new deformation argument under a new version of the Palais-Smale condition.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2023 Tomoharu Kinoshita;
  https://creativecommons.org/licenses/by-nd/4.0
• Date:
  2023.12.31
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 62, No 2 (December 2023); 667 - 692;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/47708/37278 ;https://apcz.umk.pl/TMNA/article/view/47708/37279
• Subject:
  Nonlinear Schrödinger equations;
  radially symmetric solutions;
  symmetric mountain pass approach;
  deformation theory;
  35J20, 58E05
• Identifier: https://apcz.umk.pl/TMNA/article/view/47708
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other