On the H "opf Boundary Lemma for quasilinear problems involving\n singular nonlinearities and applications

2018/10/31 by Francesco Esposito, Esposito, Francesco, Berardino Sciunzi +1 · 2 citations
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1810.13294

openalex publication_date 2018/10/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we consider positive solutions to quasilinear elliptic problem\nwith singular nonlinearities. We provide a H "opf type boundary lemma via a\nsuitable scaling argument that allows to deal with the lack of regularity of\nthe solutions up to the boundary.\n

Citations

• A symmetry problem in potential theory
• On a singular nonlinear elliptic boundary-value problem
• C1 + α local regularity of weak solutions of degenerate elliptic equations

Cited by

• Monotonicity in half-spaces for singular quasilinear elliptic problems involving the gradient
• Boundary estimates for singular elliptic problems involving a gradient term

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