A quasilinear singular elliptic problem related to the Kardar–Parisi–Zhang equation. Issue 5 (4th April 2021)

• Record Type: Journal Article
• Authors: Boccardo, Lucio; Orsina, Luigi; Peral, Ireneo
• Is Part Of: Applicable analysis. Volume 100:Issue 5(2021)
• Page Start: 1096
• Page End: 1106
• Publication Date: 2021-04-04
• Subjects: Kardar–Parisi–Zhang equation -- Quasilinear singular PDE; 35J62 -- 35B65 -- 35J75; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2019.1634259
• Languages: English
• ISSNs: 0003-6811

Abstract

ABSTRACT: In this paper, we will study existence and properties of solutions for the nonlinear Dirichlet problem − div ⁡ ( M ( x ) ∇ u ) = b ( x ) | ∇ u | u θ + f ( x ), in Ω, u = 0, on ∂ Ω, where Ω ⊂ R N is a bounded domain, 0 < θ ≤ 1, M is a uniformly elliptic and bounded matrix, and b, f are functions in some Lebesgue spaces.