Maximum principles for a class of nonlinear second order elliptic differential equations

Giovanni Porru; Tewodros Amdeberhan; S. Vernier-Piro

Maximum principles for a class of nonlinear second order elliptic differential equations

偏微分方程分析 2025-10-20 v1 数值分析数值分析

作者: Giovanni Porru , Tewodros Amdeberhan , S. Vernier-Piro

摘要

In this paper we investigate maximum principles for functionals defined on solutions to special partial differential equations of elliptic type, extending results by Payne and Philippin. We apply such maximum principles to investigate one overdetermined problem.

关键词

elliptic partial differential equations ordinary differential equations optimization and approximation theory

引用

@article{arxiv.math/9804125,
  title  = {Maximum principles for a class of nonlinear second order elliptic differential equations},
  author = {Giovanni Porru and Tewodros Amdeberhan and S. Vernier-Piro},
  journal= {arXiv preprint arXiv:math/9804125},
  year   = {2025}
}

备注

13 pages. See also http://www.math.temple.edu/~tewodros

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