Multiple solutions for the mean curvature equation

Sebastián Lorca, Marcelo Montenegro

Abstract


We perturb the mean curvature operator and
find multiple critical points of functionals that are not even.
As a consequence we find infinitely many solutions for a quasilinear
elliptic equation. The generality of our results are also reflected
in the relaxed hypotheses related to the behavior of the functions
around zero and at infinity.

Keywords


Mean curvature; perturbation from symmetry; nonsymmetric functionals; multiple critical points; minimax theorem

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