Spectral analysis of eigenvalue problem with the (p(x),q(x))-Laplacian
DOI:
https://doi.org/10.56947/amcs.v25.389Keywords:
Eigenvalues, Ljusternik-Schnirelmann principle, Spectral analysisAbstract
In this study, a spectral problem that involves the Robin (a(x),b(x))-Laplacian on a bounded domain in Rn is analyzed. With the help of the Ljusternik-Schnirelmann principle, it is established that an increasing sequence of eigenvalues exists. Using the min-max principle, we also established that the infimum of the spectrum is zero, and all the eigenvalues are non-negative. It was further proved that there exists a principal eigenvalue for this problem and that the spectrum is open.
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Published
2024-11-09
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