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- Tilt-Excess Decay Lemma For M an n-rectifiable set let Px = projTxM . Let P = projRn , Q = projRk in
- Main Regularity Theorem Theorem 1 (Allard's Regularity Theorem) Suppose (0, 1). Then
- The Single and Two-Valued Minimal Surface Equation
- Leobardo Rosales Research Statement 1 My research interests are in geometric analysis, particularly geometric measure theory. My
- MAIN Regularity Theorem Theorem 1 (ALLARD's Regularity Theorem) There are constants
- First some preliminary definitions: 1. Embedded Surface: S is an embedded surface in R3
- Problems in Minimizing Functionals Our goal is minimizise functionals. Let Rn
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- Tilt-Excess Decay Theorem Theorem 1 For (0, 1), then there are constants c(n, k, ), 0(n, k, )
- Approximation By Harmonic Functions Theorem 1 (Lemma) Given > 0 there is a constant (n, ) > 0 such
- Leobardo Rosales Teaching Statement 1 My teaching philosophy stems from the debt I owe to higher education with respect to the
- ABSTRACT: Recently, the author gave a complete geometric description of solutions to the Two-Valued Minimal Surface Equation defined over the
- For q 2, the q-valued minimal surface equation is a PDE producing solutions u0 C(D \ {0}) for D the open unit disk in R2
- Minimal Immersions with Prescribed Boundary
- Discontinuous Solutions to the Two-Valued Minimal Surface Equation
- Surfaces Minimizing Boundary-Weighted Area The goal of the Fall VIGRE Geometric Calculus of Variations group is to