English

Three topological problems about integral functionals on Sobolev spaces

Analysis of PDEs 2013-10-09 v1

Abstract

In this paper, I propose some problems, of topological nature, on the energy functional associated to the Dirichlet problem -\Delta u = f(x,u) in Omega, u restricted to the boundary of Omega is 0. Positive answers to these problems would produce innovative multiplicity results on this Dirichlet problem.

Keywords

Cite

@article{arxiv.math/0412560,
  title  = {Three topological problems about integral functionals on Sobolev spaces},
  author = {Biagio Ricceri},
  journal= {arXiv preprint arXiv:math/0412560},
  year   = {2013}
}

Comments

3 pages