Description

• Title:
  A-priori bound and Hölder continuity of solutions to degenerate elliptic equations with variable exponents
• Creator:
  Ho, Ky;
  Nhan, Le Cong;
  Truong, Le Xuan
• Description:
  We investigate the boundedness and regularity of solutions to degenerate elliptic equations with variable exponents that are subject to the Dirichlet boundary condition. By employing the De Giorgi iteration, we obtain a-priori bounds and the Hölder continuity for solutions. As an application, we obtain the existence of infinitely many small solutions for a class of degenerate elliptic equations involving variable exponents.
• Object availability:
  free access
• Rights: https://creativecommons.org/licenses/by-nd/4.0 ;
  Prawa autorskie (c) 2022 Ky Ho, Le Cong Nhan, Le Xuan Truong
• Date:
  2022.12.10
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 60, No 2 (December 2022); 601 - 632;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/41319/34041 ;https://apcz.umk.pl/TMNA/article/view/41319/34042
• Subject:
  p(.)-Laplacian;
  weighted variable exponent Lebesgue-Sobolev spaces;
  a-priori bound;
  Hölder continuity;
  De Giorgi iteration;
  localization method;
  35B45, 35B65, 35D30, 35J20, 35J60, 35J70
• Identifier: https://apcz.umk.pl/TMNA/article/view/41319
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other