Description

• Title:
  Heteroclinic solutions of Allen-Cahn type equations with a general elliptic operator
• Creator:
  Wroński, Karol
• Description:
  We consider a generalization of the Allen-Cahn type equation in divergence form $-\rom{div}(\nabla G(\nabla u(x,y)))+F_u(x,y,u(x,y))=0$. This is more general than the usual Laplace operator. We prove the existence and regularity of heteroclinic solutions under standard ellipticity and $m$-growth conditions.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2018 Topological Methods in Nonlinear Analysis
• Date:
  2018.05.23
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 52, No 2 (December 2018); 729 - 738;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2018.010/14851 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2018.010/14852
• Subject:
  Heteroclinic solutions;
  Allen-Cahn equation;
  35J20;
  35B65;
  35B40
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2018.010
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other