Description

• Title:
  Infinitely many positive solutions for a double phase problems involving the double phase operator
• Creator:
  Lian, Chunbo;
  Ge, Bin;
  Cao, Qinghai;
  Zhang, Yu
• Description:
  In this paper we study a double phase problem which involves the double phase operator, and the nonlinear term has an oscillatory behavior. By using variational methods and the theory of the Musielak-Orlicz-Sobolev space, we establish the existence of infinitely many solutions whose $W_0^{1,H}(\Omega)$-norms tend to zero (to infinity, respectively) whenever the nonlinearity oscillates at zero (at infinity, respectively).
• Object availability:
  free access
• Rights: https://creativecommons.org/licenses/by-nd/4.0 ;
  Prawa autorskie (c) 2024 Chunbo Lian, Bin Ge, Qinghai Cao, Yu Zhang
• Date:
  2024.09.21
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 64, No 2 (December 2024); 493 - 507;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/55343/39790 ;https://apcz.umk.pl/TMNA/article/view/55343/39791
• Subject:
  Double phase operator;
  oscillatory nonlinearities;
  infinitely many positive solutions;
  variational principle;
  Primary: 35J60, 35D05;
  Secondary: 03H10
• Identifier: https://apcz.umk.pl/TMNA/article/view/55343
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other