### Multiple solutions for the mean curvature equation

#### 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.

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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