1) infinite chain of solutions
无穷长解链
2) infinitely long line
无穷长线
3) Infinitely many solutions
无穷多解
1.
By means of the variational approach,in a condition weaker than(AR) the existence of infinitely many solutions of fourth-order elliptic equation is discussed.
在比(AR)条件更弱的一类超线性条件之下,利用变分方法讨论了一类超线性四阶椭圆方程的无穷多解的存在性。
2.
The aim of this paper is to discuss the infinitely many solutions of a class of p-biharmonic-like equations on a bounded smooth domain of RN,where 2p>N,and the nonlinearity may not be odd symmetric.
讨论了RN中有界光滑区域上的一类类p-双调和方程的无穷多解问题,其中2p>N,非线性项不必具有奇对称性。
4) multiple solutions
无穷多解
1.
In this paper,we considered the multiple solutions of the following p-Biharmonic-Like problem with 0-Dirichlet boundary value in a bounded domain with smooth boundary:△(a(△u|)△u|△u) = f (x,u), where f (x,u) is a nonlinear odd term.
考虑了类P-双调和方程△((a△up)△up-2△u)=f(x,u)的Dirichlet零边值问题的无穷多解问题,这里的非线性项是奇的,通过验证所定义的泛函满足Cerami条件,从而运用喷泉定理,得到了无穷多个大能量解的存在性。
2.
By considering the following p-Laplace problem of 0-DDirichlet boundary value in a bounded domain of Ω=(0,1)~N:-div(|Du|~(p-2)Du)=g(x,u)+f(x), the existence of multiple solutions in W~_(1,p)_0(Ω) is shown under some assumptions in this paper.
在有界区域Ω=(0,1)N中讨论含非对称形式的p laplace方程-div(|Du|p-2Du)=g(x,u)+f(x)的Dirichlet零边值问题,给出了在一定条件下无穷多解的存在性。
3.
In this paper, the recent achievements of multiple solutions in semilinear ellipic problems and p-Laplacian problems are related.
在更一般的条件下用不同的方法获得了方程无穷多解的存在性结果。
5) infinite solution set
无穷解集
6) innumerable solutions
无穷解
1.
The watermark is constructed on the basis of the theorem of eigenvector and the property of an equation which has innumerable solutions.
应用特征向量的原理和方程具有无穷解时具有的特性产生水印,并采用相关值计算方法对水印进行检测。
补充资料：长解
1.谓长途解送罪犯。亦指担负这种差事的差役。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条