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Eigenvalue problems with unbalanced growth
DOI:10.1016/j.aml.2025.109548.png)
Abstract
En 中文
We consider a nonlinear eigenvalue problem driven by the nonautonomous (p, q)-Laplacian with unbalanced growth. Using suitable Rayleigh quotients and variational tools, we show that the problem has a continuous spectrum which is an upper half line and we also show a nonexistence result for a lower half line.
Keywords:
Unbalanced growth
Eigenvalues
Eigenfunctions
Continuous spectrum
Bounded solution
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