Non-autonomous double phase eigenvalue problems with indefinite weight and lack of compactness

2023/02/25 by Gou, Tianxiang, Radulescu, Vicentiu D.
#46E30 #47J10 #58C40 #58E05 #Analysis of PDEs (math.AP) #FOS: Mathematics #Primary: 35P30 #Secondary: 35J70

paper · doi:10.48550/arxiv.2302.13077

Abstract

In this paper, we consider eigenvalues to the following double phase problem with unbalanced growth and indefinite weight, -Δ_p^a u-Δ_q u =λm(x) |u|^q-2u in \R^N, where N ≥ 2, 1

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