Description

• Title:
  A direct proof of existence of weak solutions to elliptic problems
• Creator:
  Chlebicka, Iwona;
  Karppinen, Arttu;
  Li, Ying
• Description:
  We provide a direct proof of existence and uniqueness of weak solutions to a broad family of strongly nonlinear elliptic equations with lower-order terms. The leading part of the operator satisfies general growth conditions settling the problem in the framework of fully anisotropic and inhomogeneous Musielak-Orlicz spaces generated by an $N$-function \linebreak $M\colon \Omega\times\mathbb R^d\to [0,\infty)$. Neither $\nabla_2$ nor $\Delta_2$ conditions are imposed on $M$. Our results cover among others problems with anisotropic polynomial, Orlicz, variable exponent, and double phase growth.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2023 Iwona Chlebicka, Arttu Karppinen, Ying Li;
  https://creativecommons.org/licenses/by-nd/4.0
• Date:
  2023.12.31
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 62, No 2 (December 2023); 643 - 665;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/47718/37298 ;https://apcz.umk.pl/TMNA/article/view/47718/37299
• Subject:
  xistence;
  elliptic boundary value problems;
  second order partial differential equations;
  Musielak-Orlicz spaces;
  Primary: 35J25, 35D30
• Identifier: https://apcz.umk.pl/TMNA/article/view/47718
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other