arXiv:2303.16444 Abstract | arXiv Analytics

arXiv:2303.16444 [math.AP]Abstract References Reviews Resources

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

Published 2023-03-29Version 1

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\ $H^{-m_{1}}(\Omega_{1})$.

Comments: 45 pages

Categories: math.AP

Keywords: second order partial differential equations, nonlinear second order partial differential, dirichlet problem, derivatives, generalized integral equations

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