一个具有半连续Gateaux导数的泛函的Mini Max定理和非线性波动方程的边值问题的解

数学季刊 ›› 2007, Vol. 22 ›› Issue (3): 451-458.

一个具有半连续Gateaux导数的泛函的Mini Max定理和非线性波动方程的边值问题的解

1. College of Sciences Southern Yangtze University 2. Zengcheng College South China Normal University

收稿日期:2005-10-09 出版日期:2007-09-30 发布日期:2023-10-30
作者简介: HUANG Wen-hua(1947- ), male, native of Changshu, Jiangsu, a professor of Southern Yangtze University, engages in nonlinear boundary value problem.
基金资助:
Supported by the Natural Science Foundation of Southern Yangtze University China(0371)

A Mini Max Theorem for the Functionals with Hemicontinuous Gateaux Derivative and the Solution of the Boundary Value Problem for the Nonlinear Wave Equation

1. College of Sciences Southern Yangtze University 2. Zengcheng College South China Normal University

Received:2005-10-09 Online:2007-09-30 Published:2023-10-30
About author: HUANG Wen-hua(1947- ), male, native of Changshu, Jiangsu, a professor of Southern Yangtze University, engages in nonlinear boundary value problem.
Supported by:
Supported by the Natural Science Foundation of Southern Yangtze University China(0371)

摘要/Abstract

摘要：
In this paper,a mini max theorem was showed mega which the paper proves a new existent and unique result on solution of the boundary value problem for the nonlinear wave equation by using the mini max theorem.

关键词: Hilbert space； mini max theorem, existence and uniqueness solution, boundary value problem, nonlinear wave equation

Abstract: In this paper,a mini max theorem was showed mega which the paper proves a new existent and unique result on solution of the boundary value problem for the nonlinear wave equation by using the mini max theorem.

Key words: Hilbert space； mini max theorem, existence and uniqueness solution, boundary value problem, nonlinear wave equation

黄文华, 陆川. 一个具有半连续Gateaux导数的泛函的Mini Max定理和非线性波动方程的边值问题的解[J]. 数学季刊, 2007, 22(3): 451-458.

HUANG Wen-hua, LU Chuan. A Mini Max Theorem for the Functionals with Hemicontinuous Gateaux Derivative and the Solution of the Boundary Value Problem for the Nonlinear Wave Equation [J]. Chinese Quarterly Journal of Mathematics, 2007, 22(3): 451-458.

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