6533b826fe1ef96bd12848db

RESEARCH PRODUCT

Milton’s conjecture on the regularity of solutions to isotropic equations

Daniel Faraco

subject

Partial differential equationConjectureApplied MathematicsBeltrami operatorMathematical analysisIsotropyHölder conditionMathematical PhysicsAnalysisMathematics

description

Abstract We present examples showing that the threshold for the integrability of the gradient of solutions to isotropic equations is 2K/(K−1). The main tools are p-laminates and Beltrami Operators.

https://doi.org/10.1016/s0294-1449(03)00014-3