Description

• Title:
  Brézis-Kato type regularity results for higher order elliptic operators
• Creator:
  Siemianowski, Jakub
• Description:
  We prove Brézis-Kato regularity type results for solutions of the higher order nonlinear elliptic equation \[ L u = g(x,u)\quad\text{in }\Omega \] with an elliptic operator $L$ of $2m$ order with variable coefficients and a Carathéodory function $g\colon \Omega\times \C\to\C$, where $\Omega\subset\R^N$ is an open set with $N > 2m$.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2025 Jakub Siemianowski;
  https://creativecommons.org/licenses/by-nd/4.0
• Date:
  2025.02.14
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 65, No 1 (March 2025); 203 - 217;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/58854/41557 ;https://apcz.umk.pl/TMNA/article/view/58854/41558
• Subject:
  Brézis-Kato theorem;
  higher order elliptic operators;
  elliptic regularity;
  polyharmonic operators;
  35B65, 35J30, 35J61, 35G20
• Identifier: https://apcz.umk.pl/TMNA/article/view/58854
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other