双非线性p-Laplacian方程解的存在性

J4 ›› 2011, Vol. 46 ›› Issue (3): 89-93.

双非线性p-Laplacian方程解的存在性

李永军

兰州城市学院数学学院, 甘肃兰州 730070

收稿日期:2010-09-26 发布日期:2011-04-21
作者简介:李永军(1975- ), 男, 博士, 副教授, 研究方向为非线性分析. Email:li-liyong120@yahoo.com.cn
基金资助:
国家自然科学基金资助项目(10771159);甘肃省教育厅科研资助项目(0911B-06)

The existence of solution for a doubly nonlinear p-Laplacian equation

LI Yong-jun

School of Mathematics, Lanzhou City University, Lanzhou 730070, Gansu, China

Received:2010-09-26 Published:2011-04-21

摘要/Abstract

摘要：

研究了具有任意多项式增长的双非线性p-Laplacian方程,利用Galerkin逼近, 结合勒让德变换和能量估计方法, 证明了一般形式的双非线性p-Laplacian方程解的存在性。

关键词: p-Laplacian方程;Galerkin逼近;勒让德变换

Abstract:

A doubly nonlinear p-Laplacian equation is studied for nonlinear functions with polynomial growth of arbitrary. Using Galerkin approximation and Legendre transform, by the energy estimate method, the existence of solution is proved for a general doubly nonlinear p-Laplacian equation.

Key words: p-Laplacian equation; Galerkin approximation; Legendre transform

李永军. 双非线性p-Laplacian方程解的存在性[J]. J4, 2011, 46(3): 89-93.

LI Yong-jun. The existence of solution for a doubly nonlinear p-Laplacian equation[J]. J4, 2011, 46(3): 89-93.

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