Generalized Jacobian elliptic functions and their application to bifurcation problems associated with p-Laplacian
Generalized Jacobian elliptic functions and their application to bifurcation problems associated with p-Laplacian
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DOI：
10.1016/j.jmaa.2011.06.063
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发表时间：
2012
影响因子：
1.3
通讯作者：
S. Takeuchi
中科院分区：
文献类型：
--
作者：
S. Takeuchi
推广了雅可比椭圆函数，并将其应用于一类具有-Laplacian算子的非线性特征值问题。本征值和相应的本征函数表示的公共参数，并得到一个完整的描述的频谱和相应的本征函数的封闭形式表示。作为这种表示的副产品，证明了一种解也是另一个具有-Laplacian特征值问题的解。
The Jacobian elliptic functions are generalized and applied to a nonlinear eigenvalue problem with-Laplacian. The eigenvalue and the corresponding eigenfunction are represented in terms of common parameters, and a complete description of the spectra and a closed form representation of the corresponding eigenfunctions are obtained. As a by-product of the representation, it turns out that a kind of solution is also a solution of another eigenvalue problem with-Laplacian.