Three topological problems about integral functionals on Sobolev spaces
Biagio Ricceri
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.
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