The moving plane method for doubly singular elliptic equations involving\n a first order term

2021/05/20 by Francesco Esposito, Esposito, Francesco, Berardino Sciunzi +1 · 1 citation
Computer Science · Mathematics · #35A21 #35B06 #35B50 #35J61 #35J75 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #Differential Equations and Numerical Methods #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2105.09988

openalex publication_date 2021/05/20 · openalex created_date 2022/09/14 · openalex updated_date 2026/07/28

Abstract

In this paper we deal with positive singular solutions to semilinear elliptic\nproblems involving a first order term and a singular nonlinearity. Exploiting a\nfine adaptation of the well-known moving plane method of Alexandrov-Serrin and\na careful choice of the cutoff functions, we deduce symmetry and monotonicity\nproperties of the solutions.\n

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• Boundary estimates for singular elliptic problems involving a gradient term

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