Eigenvalue problems for anisotropic discrete boundary value problems |
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| Authors: | Mihai Mihăilescu Stepan Tersian |
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| Affiliation: | 1. Department of Mathematics , University of Craiova , Craiova, Romania;2. Department of Mathematics , Central European University , Budapest, Hungary;3. Department of Mathematical Analysis , University of Rousse , Rousse, Bulgaria |
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| Abstract: | 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. |
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| Keywords: | eigenvalue problem discrete boundary value problem critical point weak solution continuous spectrum |
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