Multiple solutions to the Plateau problem for nonconstant mean curvature
Résumé
We prove the existence of at least two solutions to the Plateau problem for any curvature function H close enough, in L^∞-norm, to a nonzero constant H_0 such that ∣H_0∣.∣∣γ∣∣ <1, where ∣∣γ∣∣ denotes the L^∞-norm of the boundary condition γ.
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