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Entire solutions to equations of minimal surface type in six dimensions

Connor Mooney

2021Journal of the European Mathematical Society11 citationsDOIOpen Access PDF

Abstract

We construct nonlinear entire solutions in \mathbb{R}^6 to equations of minimal surface type that correspond to parametric elliptic functionals.

Topics & Concepts

MathematicsType (biology)Minimal surfaceSurface (topology)Mathematical analysisPure mathematicsCalculus (dental)GeometryMedicineEcologyDentistryBiologyGeometric Analysis and Curvature FlowsAdvanced Mathematical Modeling in EngineeringNonlinear Partial Differential Equations
Entire solutions to equations of minimal surface type in six dimensions | Litcius