2023
DOI: 10.1112/blms.12961
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Non‐autonomous double phase eigenvalue problems with indefinite weight and lack of compactness

Tianxiang Gou,
Vicenţiu D. Rădulescu

Abstract: In this paper, we consider eigenvalues to the following double phase problem with unbalanced growth and indefinite weight, where , , , , and is an indefinite sign weight which may admit non‐trivial positive and negative parts. Here, is the ‐Laplacian operator and is the weighted ‐Laplace operator defined by . The problem can be degenerate, in the sense that the infimum of in may be zero. Our main results distinguish between the cases and . In the first case, we establish the existence of a continuous fa… Show more

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