Three topological problems about integral functionals on Sobolev spaces

Details Three topological problems about integral functionals on Sobolev spaces Three topological problems about integral functionals on Sobolev spaces

2004-12-31

arxiv.org/abs/math/0412560v1

Mathematics

Analysis of PDEs

3 pages

Scientific paper

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.

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