1) Nonlinear ef elliptic equation
非线性椭精圆方程
2) nonlinear elliptic equations
非线性椭圆方程
1.
In this paper,we consider a class of nonlinear elliptic equations.
本文考虑一类非线性椭圆方程,运用强制变分方法,我们给出了在多种情况下方程解的存在性。
2.
This paper studied the optimal control problem of nonlinear elliptic system with two kinds of boundary conditions,one of which is a class of nonlinear elliptic equations with the first kind boundary condition;the other is the boundary control of nonlinear elliptic equations with the second boundary condition.
其中,一类是带有第一类边界条件的非线性椭圆方程,另一类是带有第二类边界条件的非线性椭圆方程的边界控制。
3) nonlinear elliptic equation
非线性椭圆方程
1.
A class of nonlinear elliptic equations with non-homogeneous boundary values;
一类非齐次边界条件的非线性椭圆方程的可解性
2.
Some properties of solutions of nonlinear elliptic equations in limit cases;
极限情形非线性椭圆方程解的某些性质
3.
Local regularity results for minima of functionals of the calculus of variation and weak solutions of nonlinear elliptic equations in more general conditions are proved by using the imbedding inequality of Giaquinta and Giusti and the Sobolev space method.
利用Giaquinta和Giusti的嵌入不等式和Sobolev空间方法,证明了在更一般条件下的变分问题中的泛函极小与非线性椭圆方程弱解的局部正则性。
4) nonlinear elliptic complex equations of second order
二阶非线性椭圆型方程
1.
The article deals with the discontinuous boundary value problem for nonlinear elliptic complex equations of second order.
讨论了二阶非线性椭圆型方程在多连通区域上的间断边值问题。
5) nonlinear elliptic equations
非线性椭圆型方程
1.
We study a class of nonlinear elliptic equations\|div(A)((x,u+(x))=B(x,u,u).
研究了非线性椭圆型方程—div A( x, u) + f( x) =B( x,u, u) ,在可控增长条件| B( x,z,h) |≤∧1| h| p( 1- 1/p* ) + | z| p* - 1+ g( x) 下 ,得到弱解的 C1,α正则性 ,其中 1
2.
Using maximum principle and mountain pass lemma to a class of nonlinear elliptic equations, two different positive solutions are obtained.
利用极值原理和山路引理，讨论了一类非线性椭圆型方程正解的多重性，得到了两个不同的正
3.
In this paper,we first give a priori estimates of solutions of irregular oblique derivative boundary value prob-lem for second order nonlinear elliptic equations(problem M),then on the basis of estimates of solutions of prob-lem M and method of parameter extension,we prove that problem M is solvable.
本文首先给出二阶非线性椭圆型方程的非正则斜微商边值问题(简称问题M)解的先验估计,其次利用这个解的先验估计和参数开拓法证明了问题M的可解性。
6) nonlinear elliptic equation
非线性椭圆型方程
1.
The existence and uniqueness of positive solutions to a class of nonlinear elliptic equations;
一类非线性椭圆型方程正解的存在性与唯一性
2.
By linearization method and the result for linear equation,it is proved that for a class of nonlinear elliptic equations in the plane,the nonlinear term is uniquely given by the Dirichlet-Neumann mapping.
利用线性化方法及线性化方程的相应结果,证明了对一类平面非线性椭圆型方程,由Dirichlet Neumann映射可以唯一地确定其非线性项。
3.
A class of nonlinear elliptic equation with gradient is discussed in this paper.
考虑了一类含有梯度的非线性椭圆型方程 ,构造了该方程解的某合适泛函 ,导出了它满足极大值原理的条件 ,从而可得到梯度等量的估计。
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