Critical double phase problems involving sandwich-type nonlinearities

2025/03/28 by Farkas, Csaba, Fiscella, Alessio, Ho, Ky +1 · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2503.22371

Abstract

In this paper we study problems with critical and sandwich-type growth represented by -div(|∇ u|^p-2∇ u + a(x)|∇ u|^q-2∇ u)= λw(x)|u|^s-2u+θB(x,u) in Ω, u= 0 \quadon ∂ Ω, where Ω⊂ℝ^N is a bounded domain with Lipschitz boundary ∂Ω, 1

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• Mixed double phase equations with local and nonlocal operators

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