Global analysis for a two-dimensional elliptic eigenvalue problem with the exponential nonlinearity
type: Item
instance of: scholarly article
title: Global analysis for a two-dimensional elliptic eigenvalue problem with the exponential nonlinearity
zbMATH Open document ID: 0785.35045
DOI: 10.1016/S0294-1449(16)30232-3
author: Takashi Suzuki
published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire
publication date: 1992-12-17T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/78285
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 47J10
Mathematics Subject Classification ID: 35B30
Mathematics Subject Classification ID: 35J60
zbMATH DE Number: 77823
zbMATH Keywords: global bifurcation
zbMATH Keywords: rearrangement
zbMATH Keywords: bounded domain
zbMATH Keywords: nonlinear elliptic eigenvalue problem
zbMATH Keywords: Emden-Fowler equation
zbMATH Keywords: one-point blow-up singular limit
MaRDI profile type: Publication
cites work: Existence theorems, qualitative results and priori bounds for a class of non-linear Dirichlet problems
cites work: On a differential inequality and its applications to geometry
cites work: Q3876353
cites work: Eigenfunctions and nodal sets
cites work: Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems
cites work: On the nonlinear equations Δ𝑢+𝑒^{𝑢}=0 and ∂𝑣/∂𝑡=Δ𝑣+𝑒^{𝑣}
cites work: Q4110164
cites work: Positive solutions of convex nonlinear eigenvalue problems
cites work: Q5531285
cites work: On the number of solutions of boundary value problems with convex nonlinearities
cites work: On non-radially symmetric bifurcation in the annulus
cites work: A Two-Dimensional Dirichlet Problem with an Exponential Nonlinearity
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: Q3348368
cites work: On the principal frequency of a membrane
cites work: Remarks on courant's nodal line theorem
cites work: On the Nonlinear Eigenvalue Problem Δu + λe u = 0
cites work: Counterexample to a conjecture of H. Hopf
cites work: On the Asymptotic Solution of a Partial Differential Equation with an Exponential Nonlinearity
OpenAlex ID: W2236552752
Recommended article: Global Analysis of Two-Parameter Elliptic Eigenvalue Problems
Recommended article: Q3348368
Recommended article: Local and global behavior of solutions to 2 D-elliptic equation with exponentially-dominated nonlinearities
Recommended article: On a Two-Dimensional Elliptic Problem with Large Exponent in Nonlinearity
Recommended article: Eigenvalues, global bifurcation and positive solutions for a class of nonlocal elliptic equations
Recommended article: Q5292047
Recommended article: Elliptic equations in dimension 2 with double exponential nonlinearities
Recommended article: Global well-posedness and linearization of a semilinear 2D wave equation with exponential type nonlinearity
Recommended article: Semilinear Elliptic Systems With Exponential Nonlinearities in Two Dimensions
Recommended article: Spectral asymptotics and bifurcation for two-parameter nonlinear elliptic eigenvalue problems
description: scientific article; zbMATH DE number 77823