Singular elliptic equations having a gradient term with natural growth

2024/01/11 by Ferone, A., Mercaldo, A., de León, S. Segura
#35B25 #35J25 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2401.06237

Abstract

We study a class of Dirichlet boundary value problems whose prototype is \-Δ_p u =h(u)|∇ u|^p+u^q-1+f(x) · amp; \hboxin Ω ,
u≥ 0 , · amp; \hboxin Ω
u = 0 · amp; \hboxon ∂ Ω ,. where Ω an open bounded subset of \mathbb R^N, 0

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