Bifurcation from the first eigenvalue of the p-Laplacian with nonlinear boundary condition

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AuteurCUESTA, MABEL
AuteurLEADI, LIAMIDI AREMOU
AuteurNSHIMIRIMANA, PASCALINE
Date d'ajout2026-06-02T16:06:57Z
Date de disponibilite2026-06-02T16:06:57Z
Date de publication2019
ResumeWe consider the problem ∆ p u = |u| p−2 u in Ω, ∂u |∇u| p−2 = λ|u| p−2 u + g(λ, x, u) on ∂Ω, ∂ν where Ω is a bounded domain of R N with smooth boundary, N ≥ 2, and ∆ p denotes the p-Laplacian operator. We give sufficient conditions for the existence of continua of solutions bifurcating from both zero and infinity at the principal eigenvalue of p-Laplacian with nonlinear boundary conditions. We also prove that those continua split on two, one containing strictly positive and the other containing strictly negative solutions. As an application we deduce results on anti-maximum and maximum principles for the p-Laplacian operator with nonlinear boundary conditions.
Autre identifiantBECDB-7273
URIhttps://dspace.uac.bj/handle/123456789/6546
Languefr
Fait partie deElectronic Journal of Differential Equations
SujetBifurcation theory
Sujettopological degree
Sujetp-Laplacian
Sujetelliptic problem
Sujetnonlinear boundary condition
Sujetmaximum and anti-maximum principles
TitreBifurcation from the first eigenvalue of the p-Laplacian with nonlinear boundary condition
TypeArticle

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