Sharp estimates and existence for anisotropic elliptic problems with general growth in the gradient

2014/02/13 by Della Pietra, Francesco, Gavitone, Nunzia
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1402.3086

Abstract

In this paper, we prove sharp estimates and existence results for anisotropic nonlinear elliptic problems with lower order terms depending on the gradient. Our prototype is: \ -\mathcal Q_pu =[H(Du)]^q+f(x) · amp;in Ω,
u=0 · amp;on ∂Ω. . Here Ω is a bounded open set of \mathbb R^N, N≥ 2, 0

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