Monotonicity of the first eigenvalue and the global bifurcation diagram for the branch of interior peak solutions

DOI10.1016/j.jde.2012.08.001zbMath1388.35061OpenAlexW2071156895MaRDI QIDQ695067

Kazuyuki Yagasaki, Yasuhito Miyamoto

Publication date: 20 December 2012

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2012.08.001

zbMATH Keywords

global bifurcation diagram monotonicity of eigenvalues monotonicity of time-maps singularly perturbed Neumann problem

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Estimates of eigenvalues in context of PDEs (35P15) Bifurcations in context of PDEs (35B32) Semilinear elliptic equations (35J61)

Related Items (10)

Monotonicity of the period of a nonlinear oscillator ⋮ Study of the period function of a two-parameter family of centers ⋮ Asymptotic development of an integral operator and boundedness of the criticality of potential centers ⋮ On the upper bound of the criticality of potential systems at the outer boundary using the Roussarie-Ecalle compensator ⋮ Orbital stability of smooth solitary waves for the \(b\)-family of Camassa-Holm equations ⋮ The criticality of centers of potential systems at the outer boundary ⋮ Monotonicity of the period function for \(u-u+u^p=0\) with \(p\in \mathbb R\) and \(p>1\) ⋮ Analytic tools to bound the criticality at the outer boundary of the period annulus ⋮ Bifurcation and pattern formation in diffusive Klausmeier-Gray-Scott model of water-plant interaction ⋮ Existence and uniqueness of monotone nodal solutions of a semilinear Neumann problem

This page was built for publication: Monotonicity of the first eigenvalue and the global bifurcation diagram for the branch of interior peak solutions