Description

• Title:
  Ground state solution for a class of supercritical Hénon equation with variable exponent
• Creator:
  Feng, Xiaojing
• Description:
  This paper is concerned with the following supercritical Hénon equation with variable exponent $$ \begin{cases} -\Delta u=|x|^{\alpha}|u|^{2^*_\alpha-2+|x|^\beta}u&\text{in } B,\\ u=0 &\text{on } \partial B, \end{cases} $$% where $B\subset\mathbb{R}^N$ $(N\geq 3)$ is the unit ball, $\alpha\!> \!0$, $ 0\!< \!\beta\!< \!\min\{(N\!+\!\alpha)/2,N\!-\!2\}$ and $2^*_\alpha=({2N+2\alpha})/({N-2})$. We obtain the existence of positive ground state solution by applying the mountain pass theorem, concentration-compactness principle and approximation techniques.
• Object availability:
  free access
• Rights: https://creativecommons.org/licenses/by-nd/4.0 ;
  Prawa autorskie (c) 2023 Xiaojing Feng
• Date:
  2023.09.23
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 62, No 1 (September 2023); 181 - 201;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/46310/36557 ;https://apcz.umk.pl/TMNA/article/view/46310/36558
• Subject:
  Hénon equation;
  supercritical exponent;
  variational method;
  35J20, 35J60
• Identifier: https://apcz.umk.pl/TMNA/article/view/46310
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other