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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