Flat free boundaries regularity in two-phase problems for a class of fully nonlinear elliptic operators with variable coefficients

Roberto Argiolas; Fausto Ferrari

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Flat free boundaries regularity in two-phase problems for a class of fully nonlinear elliptic operators with variable coefficients

机译：一类具有可变系数的完全非线性椭圆算子在两阶段问题中的平坦自由边界正则性

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摘要

We study the regularity of the free boundary in two-phase problems for fully nonlinear elliptic operators. In particular, we prove that flat free boundaries are C~(1,γ).

机译：我们研究了完全非线性椭圆算子两相问题中自由边界的正则性。特别地，我们证明了平坦的自由边界是C〜（1，γ）。

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《Interfaces and free boundaries》 |2009年第2期|177-199|共23页
作者
Roberto Argiolas; Fausto Ferrari;
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Dipartimento di Matematica e Informatica dell'Universita di Cagliari, viale Merello 92/94, 09123 Cagliari, Italy;

Dipartimento di Matematica dell'Universita di Bologna, Piazza di Porta San Donato, 5, 40126 Bologna, Italy and C.I.R.A.M., Via Saragozza 8, 40123 Bologna, Italy;

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1. Regularity of free boundaries of two-phase problems for fully nonlinear elliptic equations of second order. II. Flat free boundaries are Lipschitz [J] . Wang PY. Communications in Partial Differential Equations . 2002,第7a8期

机译：二阶完全非线性椭圆方程两相问题自由边界的正则性。二。平坦的自由边界是Lipschitz
2. Two-phase problems for linear elliptic operators with variable coefficients: Lipschitz free boundaries are C-1,C-gamma [J] . Cerutti MC., Ferrari F., Salsa S. Archive for Rational Mechanics and Analysis . 2004,第3期

机译：变系数线性椭圆算子的两相问题：Lipschitz自由边界为C-1，C-γ
3. Two-Phase Problems for Linear Elliptic Operators with Variable Coefficients: Lipschitz Free Boundaries are C 1,γ [J] . M. Cristina Cerutti, Fausto Ferrari, Sandro Salsa Archive for Rational Mechanics and Analysis . 2004,第3期

机译：变系数线性椭圆算子的两相问题：Lipschitz自由边界为C 1，γ
4. Variational Inequality on a Class of Variable Coefficient Elliptic Boundary Value Problems [C] . Li Baofeng, Wang Donghua 2010 First ACIS International Symposium on Cryptography and Network Security, Data Mining and Knowledge Discovery, E-Commerce Its Applications and Embedded Systems . 2010

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5. Regularity of solutions and the free boundary for a class of Bernoulli-type parabolic free boundary problems with variable coefficients. [D] . Backing, Thomas H. 2016

机译：一类具有可变系数的伯努利型抛物线型自由边界问题的解的正则性和自由边界。
6. Pseudo-monotone operators and nonlinear elliptic boundary value problems on unbounded domains [O] . Felix E. Browder 1977

机译：无界域上的伪单调算子和非线性椭圆边值问题
7. Two-phase problems for a class of fully nonlinear elliptic operators. Lipschitz free boundaries are C 1,γ [O] . Fausto Ferrari 2006

机译：一类完全非线性椭圆算子的两相问题。 Lipschitz自由边界是C 1，γ

Flat free boundaries regularity in two-phase problems for a class of fully nonlinear elliptic operators with variable coefficients

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