2-Hessian方程狄利克雷问题的弱解

IF 2.4 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2025-06-23 DOI:10.1016/j.jde.2025.113577

Tongtong Li , Guohuan Qiu

引用次数: 0

摘要

对于任意α小的2-Hessian方程，我们构造了无穷多个具有规定边值的C1，α极弱解。其证明主要依靠凸积分法和截止技术。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Very weak solutions of the Dirichlet problem for 2-Hessian equation

For any α small, we construct infinitely many

C^{1, α}

very weak solutions to the 2-Hessian equation with prescribed boundary value. The proof relies on the convex integration method and cut-off technique.

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来源期刊

Journal of Differential Equations 数学-数学

CiteScore

4.40

自引率

8.30%

发文量

543

审稿时长

9 months

期刊介绍： The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools. Research Areas Include: • Mathematical control theory • Ordinary differential equations • Partial differential equations • Stochastic differential equations • Topological dynamics • Related topics