Continuous spectrum for a double-phase unbalanced growth eigenvalue problem

2023/02/21 by Gambera, Laura, Guarnotta, Umberto, Papageorgiou, Nikolaos S.
#35B34 #35J25 #35J60 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2302.10475

Abstract

We consider an eigenvalue problem for a double-phase differential operator with unbalanced growth. Using the Nehari method, we show that the problem has a continuous spectrum determined by the minimal eigenvalue of the weighted p-Laplacian.

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