Opis

• Title:
  Multiple positive solutions for a class of variational systems
• Creator:
  Castro, Alfonso;
  Costa, David G.;
  Shivaji, Ratnasingham
• Description:
  We consider the variational system $-\Delta u = \lambda ( \nabla F)(u)$ in $\Omega$, $u = 0$ on $\partial \Omega$, where $\Omega$ is a bounded region in $\mathbb R^m$ ($m \geq 1$) with $C^1$ boundary, $\lambda$ is a positive parameter, $u\colon\Omega \rightarrow \mathbb R^N$ ($N > 1$), and $\Delta$ denotes the Laplace operator. Here $F\colon \mathbb R^N \rightarrow \mathbb R$ is a function of class $C^2$. Using variational methods, we show how changes in the sign of $F$ lead to multiple positive solutions.
• Object availability:
  Dostęp otwarty
• Rights:
  Prawa autorskie (c) 2017 Topological Methods in Nonlinear Analysis
• Date:
  2017.06.25
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  angielski
• Source:
  Topological Methods in Nonlinear Analysis; Vol 50, No 1 (September 2017); 1 - 8;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2017.016/12298 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2017.016/12299
• Subject:
  Positive solutions;
  systems;
  variational method;
  35J20;
  35J50
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2017.016
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  poproś o pozwolenie
• Type:
  pozostałe