A Viscosity method for the min-max construction of closed geodesics

DOI10.1051/cocv/2016039zbMath1353.49006arXiv1511.04545OpenAlexW2962856054WikidataQ124842071 ScholiaQ124842071MaRDI QIDQ2835360

Alexis Michelat, Tristan Rivière

Publication date: 2 December 2016

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.04545

zbMATH Keywords

geodesicsminimax problemsFinsler geometry

Mathematics Subject Classification ID

Existence of solutions for minimax problems (49J35) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Related Items (11)

Willmore minmax surfaces and the cost of the sphere eversion ⋮ The regularity of conformal target harmonic maps ⋮ The p-widths of a surface ⋮ A proof of the multiplicity 1 conjecture for min-max minimal surfaces in arbitrary codimension ⋮ A resolution of the Poisson problem for elastic plates ⋮ A viscosity method in the min-max theory of minimal surfaces ⋮ Variational methods in geometry ⋮ Reflection of Willmore Surfaces with Free Boundaries ⋮ Pointwise expansion of degenerating immersions of finite total curvature ⋮ Willmore deformations between minimal surfaces in \(\mathbb{H}^{n+2}\) and \(\mathbb{S}^{n+2}\) ⋮ On the Morse index of critical points in the viscosity method

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