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Zbl 1181.47016
Mihăilescu, Mihai; Rădulescu, Vicenţiu; Tersian, Stepan
Eigenvalue problems for anisotropic discrete boundary value problems. (English)
[J] J. Difference Equ. Appl. 15, No. 6, 557-567 (2009). ISSN 1023-6198

By transferring the problem of the existence of solutions for a certain discrete boundary value problem into the problem of the existence of critical points for some energy functional, the authors give an existence result on continuous spectrum of eigenvalues for the discrete boundary value problem.
[Ti-Jun Xiao (Fudan)]

MSC 2000:: *47A75 Eigenvalue problems (linear operators)
35B38 Critical points
35P30 Nonlinear eigenvalue problems for PD operators
34L05 General spectral theory for ODE
34L30 Nonlinear ordinary differential operators
39A23

Keywords: eigenvalue problem; discrete boundary value problem; critical point; weak solution; continuous spectrum

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