English

Some nonlocal optimal design problems

Analysis of PDEs 2017-10-04 v2 Optimization and Control

Abstract

In this paper we study two optimal design problems associated to fractional Sobolev spaces Ws,p(Ω)W^{s,p}(\Omega). Then we find a relationship between these two problems and finally we investigate the convergence when s1s\uparrow 1.

Keywords

Cite

@article{arxiv.1601.03700,
  title  = {Some nonlocal optimal design problems},
  author = {J. Fernandez Bonder and J. Spedaletti},
  journal= {arXiv preprint arXiv:1601.03700},
  year   = {2017}
}

Comments

Modifications suggested by the referee included. 25 pages

R2 v1 2026-06-22T12:29:38.868Z