Dirichlet problem of nonlinear second order partial differential equations resolved with any derivatives

Jianfeng Wang

Dirichlet problem of nonlinear second order partial differential equations resolved with any derivatives

General Mathematics 2024-05-23 v1

Authors: Jianfeng Wang

Abstract

In this paper we will discuss the Dirichlet problem of nonlinear second order partial differential equations resolved with any derivatives. First, we transform it into generalized integral equations. Next, we discuss the existence of the classical solution by Leray-Schauder degree and Sobolev space\ $H^{-m_{1}}(\Omega_{1})$ .

Keywords

dirichlet problem ordinary differential equations partial differential equations

Cite

@article{arxiv.2303.16444,
  title  = {Dirichlet problem of nonlinear second order partial differential equations resolved with any derivatives},
  author = {Jianfeng Wang},
  journal= {arXiv preprint arXiv:2303.16444},
  year   = {2024}
}

Comments

45 pages

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