A bifurcation phenomenon for the critical Laplace and p-Laplace equation in the ball

Journal of Mathematical Analysis and Applications 2026 Open access

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Authors: Francesca Dalbono, Matteo Franca, Andrea Sfecci
DOI: 10.1016/j.jmaa.2026.130482
Cited by: 1
References: 32

Abstract

We consider radial positive solutions for a class of quasilinear differential equations ruled by the p-Laplace differential operator with a critical weighted nonlinearity. We show that the problem undergoes a bifurcation phenomenon. We provide a new multiplicity result, even in the classical Laplace case. The proofs use the Fowler transformation and dynamical systems tools. (c) 2026 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).

Fields of Study & Subjects

Advanced Differential Equations and Dynamical Systems Nonlinear Differential Equations Analysis Nonlinear Partial Differential Equations

Publication details

Journal / source
Journal of Mathematical Analysis and Applications
Publisher
Elsevier BV
Volume
559
Issue
2
Pages
130482–130482
Publication date
29 January 2026
Language
EN