吉林大学学报（理学版）Issue(5)：947-949,3.DOI:10.13413/j.cnki.jdxblxb.2015.05.23
具变指数的拟线性方程解的最大模估计
Maximum Modulus Estimation to the Solution of Quasi-linear Equations with Variable Exponents
摘要
Abstract
This paper is devoted to the maximum modulus estimation to the solution of a p (x)-Laplace equation with Dirichlet boundary condition.With the help of the modified iterative lemma,the author estimated the nonnegative non-increasing function A k ∶= meas{x ∈Ω: u > k}.As a result,the author obtained the L ∞ regularity by means of De Giorgi iteration technique.Using this technique one can obtain the accurate dependency of the solution on the index.On the other hand,this modified technique can be applied to some partial differential equations with degeneracy and singular lower order terms.关键词
最大模/变指数/p(x)-Laplace方程/迭代Key words
maximum modulus/variable exponents/p (x)-Laplace equation/iteration分类
数理科学引用本文复制引用
孟繁慧..具变指数的拟线性方程解的最大模估计[J].吉林大学学报（理学版）,2015,(5):947-949,3.基金项目
国家自然科学基金(批准号:11271154) （批准号:11271154）
