Description

• Title:
  Existence of solutions for the $(p,N)$-Laplacian equation with logarithmic and critical exponential nonlinearities
• Creator:
  Jiang, Jialin;
  Yang, Yang
• Description:
  This paper deals with the following $(p,N)$-Laplacian equation with logarithmic and critical exponential nonlinearities. Precisely, we study the problem \begin{equation*} \begin{cases} -\Delta_p u -\Delta_N u = |u|^{q-2}u \ln|u|^2 + \lambda f(u)& \text{in }\Omega,\\ u=0& \text{on }\partial \Omega, \end{cases} \end{equation*} where $\Omega \subset \mathbb{R}^N$ is a bounded domain, $N \geq 2$, $1< p< N< q$, $\lambda > 0$ is a positive real parameter. By applying variational methods, we obtain the existence of solutions.
• Object availability:
  free access
• Rights: https://creativecommons.org/licenses/by-nd/4.0 ;
  Prawa autorskie (c) 2024 Jialin Jiang, Yang Yang
• Date:
  2024.09.15
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 64, No 1 (September 2024); 243 - 256;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/55209/39687 ;https://apcz.umk.pl/TMNA/article/view/55209/39688
• Subject:
  (p;
  N)-Laplacian;
  variational methods;
  logarithmic nonlinearity;
  exponential critical growth;
  Primary: 35J60, 35J35;
  Secondary: 35D30, 35B33
• Identifier: https://apcz.umk.pl/TMNA/article/view/55209
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other