Global branch from the second eigenvalue for a semilinear Neumann problem in a ball
type: Item
instance of: scholarly article
title: Global branch from the second eigenvalue for a semilinear Neumann problem in a ball
zbMATH Open document ID: 1201.35100
author: Yasuhito Miyamoto
published in: Journal of Differential Equations
publication date: 2010-10-19T00:00:00Z
Mathematics Subject Classification ID: 35J61
Mathematics Subject Classification ID: 35B32
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35P30
Mathematics Subject Classification ID: 35B45
zbMATH DE Number: 5802590
zbMATH Keywords: global bifurcation
zbMATH Keywords: Neumann Laplacian
zbMATH Keywords: second eigenvalue
zbMATH Keywords: corner point Lemma
zbMATH Keywords: nodal domain
MaRDI profile type: Publication
full work available at URL: j.jde.2010.07.018
OpenAlex ID: W2048009764
cites work: Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
cites work: Local behavior of solutions of general linear elliptic equations
cites work: Inégalités isopérimétriques et applications
cites work: Q4359709
cites work: Large Time Behavior of Solutions of Systems of Nonlinear Reaction-Diffusion Equations
cites work: The symmetry of least-energy solutions for semilinear elliptic equations.
cites work: Bifurcation from simple eigenvalues
cites work: Bifurcation, perturbation of simple eigenvalues, and linearized stability
cites work: Some problems in the theory of quasilinear equations
cites work: On the structure of equilibrium phase transitions within the gradient theory of fluids
cites work: Singularities and groups in bifurcation theory. Volume II
cites work: On the Local Behaviour Of Nodes Of Solutions Of SchröDinger Equations In Dimensions 3
cites work: Local Properties of Solutions of Schrödinger Equations
cites work: Nodal sets for ground states of Schrödinger operators with zero magnetic field in non simply connected domains
cites work: Symmetry and nodal properties in the global bifurcation analysis of quasi-linear elliptic equations
cites work: Preservation of nodal structure on global bifurcation solution branches of elliptic equations with symmetry
cites work: Uniqueness of global positive solution branches of nonlinear elliptic problems
cites work: On the Local Behavior of Solutions of Non-Parabolic Partial Differential Equations
cites work: Bifurcation theory. An introduction with applications of PDEs
cites work: Carleman estimates and unique continuation for second-order elliptic equations with non\-smooth coefficients.
cites work: Quasilinear Dirichlet problems driven by positive sources
cites work: Locating the peaks of solutions via the maximum principle: I. The Neumann problem
cites work: On the Existence of Positive Solutions of Semilinear Elliptic Equations
cites work: Q3483677
cites work: Large amplitude stationary solutions to a chemotaxis system
cites work: An instability criterion for activator-inhibitor systems in a two-dimensional ball. II
cites work: Global branches of non-radially symmetric solutions to a semilinear Neumann problem in a disk
cites work: Non-existence of a secondary bifurcation point for a semilinear elliptic problem in the presence of symmetry
cites work: Radial and nonradial solutions for the nonlinear eigenvalue problem \(\Delta u+\lambda e^ u=0\) on annuli in \({\mathbb{R}}^ 2\)
cites work: Spectral and related properties about the Emden-Fowler equation \(-\Delta u=\lambda e^ u\) on circular domains
cites work: On the Neumann Problem for Some Semilinear Elliptic Equations and Systems of Activator-Inhibitor Type
cites work: On the shape of least‐energy solutions to a semilinear Neumann problem
cites work: Q4027440
cites work: Q4284533
cites work: Some global results for nonlinear eigenvalue problems
cites work: A symmetry problem in potential theory
cites work: Semilinear Neumann boundary value problems on a rectangle
cites work: Global analysis for a two-dimensional elliptic eigenvalue problem with the exponential nonlinearity
cites work: Q4863996
DOI: 10.1016/J.JDE.2010.07.018
description: scientific article; zbMATH DE number 5802590