Opis

• Title:
  A set-valued approach to hemivariational inequalities
• Creator:
  Kristály, Alexandru;
  Varga, Csaba
• Description:
  Let $X$ be a Banach space, $X^*$ its dual and let $T\colon X\to L^p(\Omega ,\mathbb {R}^k)$ be a linear, continuous operator, where $p, k\ge 1$, $\Omega $ being a bounded open set in $\mathbb {R}^N$. Let $K$ be a subset of $X$, ${\mathcal A}\colon K\rightsquigarrow X^*$, $G\colon K\times X\rightsquigarrow \mathbb {R}$ and $F\colon \Omega \times \mathbb {R}^k\times \mathbb {R}^k\rightsquigarrow \mathbb {R}$ set-valued maps with nonempty values. Using mainly set-valued analysis, under suitable conditions on the involved maps, we shall guarantee solutions to the following inclusion problem: {\it Find $u\in K$ such that, for every } $v\in K$ $$\sigma ({\mathcal A}(u),v-u)+G(u,v-u)+ \int_\Omega F(x,T{u}(x),T{v}(x)-T{u}(x))dx \subseteq \mathbb {R}_+.$$ In particular, well-known variational and hemivariational inequalities can be derived.
• Object availability:
  Dostęp otwarty
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2004.12.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  angielski
• Source:
  Topological Methods in Nonlinear Analysis; Vol 24, No 2 (December 2004); 297 - 307;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2004.029/9246
• Subject:
  Measurable set-valued maps;
  variational-hemivariational inequalities;
  49J53;
  49J40
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2004.029
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  poproś o pozwolenie
• Type:
  pozostałe