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Gauss Curvature Flow on Surfaces of Revolution -- The Noncompact Case

Thalia D. Jeffres, Leonardo Solanilla

Abstract

Earlier work of the first author examined two boundary value problems associated to the Gauss Curvature Flow on a surface of revolution generated by a positive, differentiable function on a compact interval. In this continuation, two noncompact cases are addressed.

Gauss Curvature Flow on Surfaces of Revolution -- The Noncompact Case

Abstract

Earlier work of the first author examined two boundary value problems associated to the Gauss Curvature Flow on a surface of revolution generated by a positive, differentiable function on a compact interval. In this continuation, two noncompact cases are addressed.
Paper Structure (7 sections, 76 equations)

This paper contains 7 sections, 76 equations.

Table of Contents

  1. ABSTRACT:
  2. Introduction.
  3. Preliminaries: Notation and Discussion of the Schauder Method.
  4. Bounds on $\mid u\mid .$
  5. Gradient Bound for Problem One and conclusion of the proof of Theorem One.
  6. Gradient Bound for Problem Two and Conclusion of the Proof of Theorem Two.
  7. References

Theorems & Definitions (4)

  • proof
  • proof
  • proof
  • proof