Eigenvalue problems for anisotropic discrete boundary value problems
Mihai Mihăilescu, Vicenţiu D. Rădulescu, Stepan Agop Tersian · The Journal of Difference Equations and Applications · 2009
In this paper, we prove the existence of a continuous spectrum for a family of discrete boundary value problems. The main existence results are obtained by using critical point theory. The equations studied in the paper represent a discrete variant of some recent anisotropic variable exponent problems, which deserve as models in different fields of mathematical physics.