Following Jiaquan Liu,Yuxia Guo and Yajing Zhang,we show that for a > 0,there exists a positive radial solution of the polyharmonic system with u(0) = a for thesupercritical case:(-△)mu = vp,u > 0(-△)mv = uq,v > 0 在Rn中,where m 1 is a positive integer,n > 2m,p +1 1+q +1 1 n-n 2m.
在这篇文章里,我们证明了对任意的a>0,下面多重调和方程组在超临界的情形下存在球对称解满足u(0)=a:(-△)mu=vp,u>0(-△)mv=uq,v>0在Rn中,其中m 1为正整数,n>2m,p+1 1+q+1 1 n-n 2m。
Existence and properties of positive entire solutions for a class of polyharmonic equations;
一类多重调和方程的正整解的存在性及其性质
Existence of multiple solutions for a criical semilinear polyharmonic equation with the second boundary;
带第二类边值的临界非齐次多重调和方程的多解存在性
Existence of multiple solutions for a semilinear polyharmonic equation with critical exponent;
临界非齐次多重调和方程的多解存在性
Existence and Nonexistence of Nontrivial Solutions for a Class of Critical Growth Polyharmonic Elliptic Systems;
一类含临界增长的多重调和方程组的非平凡解的存在性
EXISTENCE AND NONEXISTENCE OF NONTRIVIAL SOLUTIONS FOR A CLASS OF CRITICAL GROWTH POLYHARMONIC ELLIPTIC SYSTEMS
一类含临界增长的多重调和方程组非平凡解的存在性
Positive Entire Solutions of Singular Non-linear Harmonic Equations(Systems);
奇异非线性调和方程(组)的正整体解
Multiple Positive Solutions for BVP of a Singular Fourth Order System
一类奇异四阶方程组边值问题的多重正解
Some Problems on Multi-coupled Nonlinear Parabolic Equations;
关于多重耦合非线性抛物型方程组的几个问题
Non-simultaneous Blowing up for Heat Equations with Multiple Nonlinearities;
多重非线性热方程组的非同时爆破问题
Asymptotic Analysis to Singular Solutions of Multi-nonlinear Parabolic Equations;
多重非线性抛物方程(组)奇性解的渐近分析
The Research of Biharmonic Equation of Variational Inequality and Boundary Element Method;
重调和方程的变分不等式和边界元法的研究
This paper is to consider subharmornic solutions for a class of nonautonomous second order systems.
本文主要研究一类二阶方程组的次调和解。
Great emphasis in this course, is put on group work and interactive projects.
课程的授课方式侧重小组活动和互动项目。
Techniques and Methodologies on Affecting Individual Acceptance towards BPR Project;
影响业务流程重组个人接受的技术和方法研究
The Existence of Nontrivial Solutions for a Class of P-harmonic Elliptic Equations;
一类P-重调和椭圆方程非平凡解的存在性
Existence of Nontrivial Solutions for a Class of Biharmonic Equations in R~N;
R~N上一类重调和方程非平凡解的存在性
A Posteriori Error Estimation of Gradient Recovery Type for the First Biharmonic Problem;
重调和方程的梯度恢复型后验误差估计
Domain Decomposition Method of Mixed Finite Element Method on Biharmonic Equation
重调和方程的混合有限元的区域分解算法
Die Hauptforschung der lineare Algebra ist das mehrdimensionale System der Gleichungen, das Betimmerden Faktors und der Matrix.
线形代数主要研究的事多元方程组、列式和矩阵。
Symplectic and Multi-symplectic Algorithms to Some Nonlinear Evolution Equations;
一些非线性发展方程(组)的辛和多辛算法
Study on the Process and Design Method of Multicomponent Batch Distillation;
多组元分批精馏过程和设计方法的研究
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