Calculus of Variations and Geometric Measure Theory
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H. Shrivastava

A NON-ISOTROPIC FREE TRANSMISSION PROBLEM GOVERNED BY QUASI-LINEAR OPERATORS

created by shrivastava1 on 12 Apr 2020
modified on 15 Sep 2020

[BibTeX]

Accepted Paper

Inserted: 12 apr 2020
Last Updated: 15 sep 2020

Year: 2020

Abstract:

We study a free transmission problem in which solution minimizes a functional with different definitions in positive and negative phase of function. We prove some asymptotic regularity results when the jumps of the diffusion coefficients get smaller along the free boundary. At last, we see a measure-theoretic result related to the free boundary.


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