Description

• Title:
  A note on nonautonomous Schrödinger equations with inhomogeneous nonlinearities
• Creator:
  Lehrer, Raquel;
  Maia, Liliane;
  Ruviaro, Ricardo
• Description:
  We study the existence of positive ground or bound state solutions for a class of nonlinear Schrödinger equations: \begin{equation*}\label{P_a} -\Delta u+\lambda u=a(x)f(u), \quad u \in H^1\big(\mathbb{R}^N\big), \ N \geq 3, \end{equation*} where the function a is positive, symmetric under some group action $G$, and $\lambda$ is a positive constant. The inhomogeneous nonlinearity $f$, under very mild assumptions, is asymptotically linear or superlinear and subcritical at infinity, with $f(s)/s$, $s> 0$, not satisfying any monotonicity condition.
• Object availability:
  free access
• Rights: https://creativecommons.org/licenses/by-nd/4.0 ;
  Prawa autorskie (c) 2024 Raquel Lehrer, Liliane Maia, Ricardo Ruviaro
• Date:
  2024.12.28
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 64, No 2 (December 2024); 711 - 733;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/57371/40912 ;https://apcz.umk.pl/TMNA/article/view/57371/40913
• Subject:
  Schrödinger;
  symmetric;
  positive solutions;
  35J20, 35J61, 58E05
• Identifier: https://apcz.umk.pl/TMNA/article/view/57371
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other