The Moving Plane Method for Doubly Singular Elliptic Equations Involving a First-Order Term-Reference-Cited by-同舟云学术

The Moving Plane Method for Doubly Singular Elliptic Equations Involving a First-Order Term

Published:2021-10-27 Issue:4 Volume:21 Page:905-916
ISSN:1536-1365
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

Esposito Francesco¹^ORCID,Sciunzi Berardino²

Affiliation:

1. Dipartimento di Matematica e Informatica , UNICAL , Ponte Pietro Bucci 31B, 87036 Arcavacata di Rende , Cosenza ; and Gruppo Nazionale per l’Analisi Matematica, la Probabilità e le loro Applicazioni, Istituto Nazionale di Alta Matematica , Italy

2. Dipartimento di Matematica e Informatica , UNICAL , Ponte Pietro Bucci 31B, 87036 Arcavacata di Rende , Cosenza , Italy

Abstract

Abstract In this paper we deal with positive singular solutions to semilinear elliptic problems involving a first-order term and a singular nonlinearity. Exploiting a fine adaptation of the well-known moving plane method of Alexandrov–Serrin and a careful choice of the cutoff functions, we deduce symmetry and monotonicity properties of the solutions.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ans-2021-2151/pdf

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