文章摘要
一个具退化强制的 Laplace 方程有界弱解的存在性
Existence of bounded weak solutions to a Laplace equation with degenerate coercivity
投稿时间:2018-04-11  修订日期:2018-05-18
DOI:
中文关键词: Laplace 方程  退化强制  正则化效应
英文关键词: Laplace equations  degenerate coercivity  regularizing effect
基金项目:国家自然科学基金项目
作者单位E-mail
李仲庆 吉林师范大学 数学学院 zqli_jlu@163.com 
付 军 吉林师范大学 数学学院  
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中文摘要:
      借助于方程低阶项的正则化效应, 证明了一个椭圆方程有界弱解的存在性. 应用此类方程解的结果和证明方法, 可以进一步研究具一阶梯度项的椭圆方程、拟线性的具低阶项的 p-Laplace 方程以及带有低阶项的抛物方程等问题的有界弱解.
英文摘要:
      With the help of the regularizing effect of the lower order term, the existence of bounded weak solutions to an elliptic equation is obtained. Employing the results and the methods used in this class of equations, one is able to have further investigation for the bounded weak solutions to other type of equations. For instance, the elliptic equations with first order gradient term, the quasi-linear p-Laplace equations with lower order term, the parabolic equations with zero order term and so on.
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