Eigenvalue problems with unbalanced growth

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Chorfi, Nejmeddine
Papageorgiou, Nikolaos S.
Radulescu, Vicentiu

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Mark

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Elsevier
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Abstract

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.
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.

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Applied Mathematics Letters. 2025, vol. 166, issue 7, p. 1-7.
https://www.sciencedirect.com/science/article/pii/S0893965925000989

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Peer-reviewed

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en

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Except where otherwised noted, this item's license is described as Creative Commons Attribution 4.0 International
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