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math.DG2022★ 1 cited
Non-degenerate minimal submanifolds as energy concentration sets: a variational approach
Guido De Philippis, Alessandro Pigati
We prove that every non-degenerate minimal submanifold of codimension two can be obtained as the energy concentration set of a family of critical maps for the (rescaled) Ginzburg-L…
math.DG2022★ 1 cited
The anisotropic Min-Max theory: Existence of anisotropic minimal and CMC surfaces
Guido De Philippis, Antonio De Rosa
We prove the existence of nontrivial closed surfaces with constant anisotropic mean curvature with respect to elliptic integrands in closed smooth -dimensional Riemannian manifo…