Description

• Title:
  Effect of the domain geometry on the existence of multipeak solutions for an elliptic problem
• Creator:
  Dancer, E. Norman;
  Yan, Shusen
• Description:
  In this paper, we construct multipeak solutions for a singularly perturbed Dirichlet problem. Under the conditions that the distance function $d(x,\partial\Omega)$ has $k$ isolated compact connected critical sets $T_1,\ldots,T_k$ satisfying $d(x,\partial\Omega) =c_j=\hbox{const.}$, for all $x\in T_j$, $\min_{i\ne j}d(T_i,T_j)> 2\max_{1\le j\le k}d(T_j,\partial\Omega)$, and the critical group of each critical set $T_i$ is nontrivial, we construct a solution which has exactly one local maximum point in a small neighbourhood of $T_i$, $i=1,\ldots,k$.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  1999.09.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 14, No 1 (September 1999); 1 - 38;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.1999.020/10023
• Subject:
  Peaks;
  nonlinear;
  small diffusion;
  Conley index;
  Clarke derivative;
  35J65;
  35B25;
  58E05
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.1999.020
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other