Three topological problems about integral functionals on Sobolev spaces
arXiv:math/0412560 · doi:10.1023/B:JOGO.0000026457.77153.5e
Abstract
In this paper, I propose some problems, of topological nature, on the energy functional associated to the Dirichlet problem -Δu = 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.
3 pages