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数学译林 2002年第2期21卷 115-124页

作者： AllynJackson 脱天福等

关于Cauchy问题唯一性的nirenberg定理的一个推广

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数学杂志 1988年第2期 113-122页

作者：王维克武汉大学

自 nirenberg 在文[2]中推广了偏微分方程 Cauchy 问题的唯一性的 Calder(?)n 定理以后,许多文章都在文[2]的基础上,对算子的次主象征作某些限制后,进一步推广了 nirenberg 的唯一性定理,得到许多好的结果。本文的推广从另一侧面进行,... 详细信息

自 nirenberg 在文[2]中推广了偏微分方程 Cauchy 问题的唯一性的 Calder(?)n 定理以后,许多文章都在文[2]的基础上,对算子的次主象征作某些限制后,进一步推广了 nirenberg 的唯一性定理,得到许多好的结果。本文的推广从另一侧面进行,即对算子的次主象征不作任何限制,而是证明当算子的特征根虚部大于正数(?)时,其根的重数可不

关键词：拟微分算子函数定义特征根特征值 nirenberg Cauchy 唯一性

THE REGULARITY OF SOLUTIONS FOR NONLINEAR DEGENERATE ELLIPTIC BOUNDARY VALUE PROBLEM

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Chinese Annals of Mathematics,Series B 1990年第3期11卷 330-341页

作者：洪家兴 Institute of Mathematics Fudan University

This paper is devoted lo the study of regularity of solutions for Dirichlet probelm ofnonlinear degenerate elliptic equations in two dimensional case. A sufficient condition fortheir solutions in C3+α（Ω） to be cer... 详细信息

关键词： regularity elliptic degenerate devoted Dirichlet proof nirenberg grateful implies milar

NONTRIVIAL SOLUTIONS OF SEMILINEAR ELLIPTIC EQUATIONS WITH CRITICAL SOBOLEV EXPONENTS

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Chinese Science Bulletin 1991年第14期36卷 1226-1227页

作者：王传芳薛儒英 Department of Mathematics Hangzhou University Hangzhou 310028 PRC Department of Mathematics Hangzhou University Hangzhou 310028 PRC Let Ωbe a bounded domain in R~n (n≥4)with smooth boundary Ω. The following problem was posed by Brezis and Nirenberg. Is there a nontrivial solution of the semilinear elliptic boundary value problem

Let Ω be a bounded domain in R^n (n≥4)with smooth boundary Ω. The following problem was posed by Brezis and nirenberg. Is there a nontrivial solution of the semilinear elliptic boundary value

关键词： semilinear elliptic nontrivial nirenberg posed eigen esses

EXISTENCE AND REGULARITY OF POSITIVE SOLUTIONS OF THE ELLIPTIC EQUATIONS INVOLVING CRITICAL NONLINEAR AND SUBLINEAR

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四川师范大学学报（自然科学版） 1991年第1期14卷 45-46页

作者：刘宪高 Dept.of Math. University of HunanChangsha 410012

0 IntroductionLet Ωbe a smooth bounded domain in Rn with n>3, consider the problem of finding a function u（x）which satisfieswhere 0n-1, 2n=2n/n-2 is the critical exponent for Sobolev embedding H01→L2 .Indeed solutions of （0 ,1） correspond to critical points of the functionalBrezis and nirenberg considered the case α≥1 and p= 2* -1, and obtainedTheorem （B , N） Let n≥4, when α=1 and 0 1,there is a solution of （0. 1） ; when α> 1 there is asolution of （0. 1） for any λ>*** principal tecncihique of argument in [1] is using positive radial solution （0. 3） of equation -△u=u2n-1 in R*.

关键词： nirenberg argument embedding correspond exponent finding radial satis 下尸 false

BAERNSTEIN THEOREM IN UNIT BALL OF C^n

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Chinese Science Bulletin 1987年第9期32卷 581-584页

作者：欧阳才衡 Wuhan Institute of Mathematical Sciences Academia Sinicat is well known that the main characterization of BMO functions shown by John and Nirenberg is that their distribution function possesses an exponential decay effect. In 1980 for a bounded subset of the Nevanlinna class in the unit disk Baernstein proved that the distribution function of the non-tangential maximal function decreases in an exponential way.

It is well known that the main characterization of BMO functions, shown by John and nirenberg, is that their distribution function possesses an exponential decay effect. In 1980, for a bounded subset of the Nevanlinna class in the unit disk, Baernstein proved that the distribution function of the non-tangential maximal function decreases in an exponential way.

关键词： exponential admissible tangential nirenberg maximal subset decay intersection inequality measurable

强椭圆方程组Dirichlet问题解之Galerkin逼近

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