ON THE INTERIOR REGULARITIES OF THE SOLUTIONS OF QUASI-LINEAR ELLIPTIC EQUATIONS

数学物理学报 ›› 1981, Vol. 1 ›› Issue (1): 93-114.

ON THE INTERIOR REGULARITIES OF THE SOLUTIONS OF QUASI-LINEAR ELLIPTIC EQUATIONS

罗佩珠, 顾永根, 方惠中, 丁夏畦

Institute of Systems Science, Academia Sinica

收稿日期:1980-11-11 出版日期:1981-03-26 发布日期:1981-03-26

ON THE INTERIOR REGULARITIES OF THE SOLUTIONS OF QUASI-LINEAR ELLIPTIC EQUATIONS

Luo Peizhu, Gu Yonggen, Fang Huizhong, Ding Xiaxi

Institute of Systems Science, Academia Sinica

Received:1980-11-11 Online:1981-03-26 Published:1981-03-26

摘要/Abstract

摘要： In[1] we discussed the problems of calculus of variations with strong nonlinearity. Its Euler equation is evidently the following elliptic type equation of divergent form with strongly increasing coefficients,
(da₁(x,u,u_x)/dx_i)+a(a,u,u_x)=0,x∈Ω⊂Rⁿ. (1)
We get the interior regularities of the solutions of(1). It is just the Hilbert's 19th problem in the case with strong nonlinearity.

罗佩珠, 顾永根, 方惠中, 丁夏畦. ON THE INTERIOR REGULARITIES OF THE SOLUTIONS OF QUASI-LINEAR ELLIPTIC EQUATIONS[J]. 数学物理学报, 1981, 1(1): 93-114.

Luo Peizhu, Gu Yonggen, Fang Huizhong, Ding Xiaxi. ON THE INTERIOR REGULARITIES OF THE SOLUTIONS OF QUASI-LINEAR ELLIPTIC EQUATIONS[J]. Acta mathematica scientia,Series A, 1981, 1(1): 93-114.

ON THE INTERIOR REGULARITIES OF THE SOLUTIONS OF QUASI-LINEAR ELLIPTIC EQUATIONS

ON THE INTERIOR REGULARITIES OF THE SOLUTIONS OF QUASI-LINEAR ELLIPTIC EQUATIONS

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