Singular solution to Special Lagrangian Equations
Copyright policy )Singular solution to Special Lagrangian Equations
We prove the existence of non-smooth solutions to three-dimensional Special Lagrangian Equations in the non-convex case. Résumé Nous démontrons l'existence de solutions singulières d'équations speciales lagrangiennes en dimension trois, dans le cas non convexe.
Mathematics - Differential Geometry, Nonlinear elliptic equations, 35J60, Calibrations and calibrated geometries, special Lagrangian equations, Mathematics - Analysis of PDEs, Differential Geometry (math.DG), Transform methods (e.g., integral transforms) applied to PDEs, FOS: Mathematics, Legendre transform, Harvey-Lawson Dirichlet duality theory, Mathematical Physics, Analysis, Analysis of PDEs (math.AP)
Mathematics - Differential Geometry, Nonlinear elliptic equations, 35J60, Calibrations and calibrated geometries, special Lagrangian equations, Mathematics - Analysis of PDEs, Differential Geometry (math.DG), Transform methods (e.g., integral transforms) applied to PDEs, FOS: Mathematics, Legendre transform, Harvey-Lawson Dirichlet duality theory, Mathematical Physics, Analysis, Analysis of PDEs (math.AP)
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