On an indefinite semilinear elliptic problem on \(\mathbb R^N\)

DOI10.1016/j.jmaa.2004.04.056zbMath1127.35016OpenAlexW2060778157MaRDI QIDQ1883086

Jacques Giacomoni, Nasreddine Megrez

Publication date: 1 October 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.04.056

zbMATH Keywords

Kelvin transformbifurcationprincipal eigenvaluemethod of moving planesindefinite semilinear elliptic problem

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Bifurcations in context of PDEs (35B32) Bifurcation theory for PDEs on manifolds (58J55)

Related Items (3)

Local and global bifurcation results for a semilinear boundary value problem ⋮ A logistic type equation in \(\mathbb{R}^N\) with a nonlocal reaction term via bifurcation method ⋮ A priori bounds for an indefinite superlinear elliptic equation with exponential growth

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The focusing nonlinear Schrödinger equation: Effect of the coupling to a low frequency field
• Existence and nonexistence of steady-state solutions for a selection- migration model in population genetics
• Une méthode locale pour l'existence de solutions positives de problèmes semi-linéaires elliptiques dans \(R^ n\).
• Le nombre de solutions de certains problèmes semi-linéaires elliptiques
• Sublinear elliptic equations in \(\mathbb{R}{}^ n\)
• A selection-migration model in population genetics
• On a diffusive logistic equation
• Superlinear indefinite elliptic problems and nonlinear Liouville theorems
• Indefinite elliptic problems in a domain
• Global bifurcation results for a semilinear elliptic equation on all of \(\mathbb{R}^ N\)
• The diffusion model for migration and selection in a dioecious population
• Positive solutions of a semilinear elliptic equation on \(\mathbb{R}^ N\) with indefinite nonlinearity
• Some global results for nonlinear eigenvalue problems
• Bifurcation from simple eigenvalues
• Principal Eigenvalues for Problems with Indefinite Weight Function on R N
• A priori bounds for positive solutions of nonlinear elliptic equations
• Global and local behavior of positive solutions of nonlinear elliptic equations
• Principal Eigenvalues for Indefinite-Weight Elliptic Problems in R n
• The principal eigenvalue and maximum principle for second‐order elliptic operators in general domains
• On the elliptic equation Δ𝑢+𝑘𝑢-𝐾𝑢^{𝑝}=0 on complete Riemannian manifolds and their geometric applications
• Bifurcation problems for superlinear elliptic indefinite equations

This page was built for publication: On an indefinite semilinear elliptic problem on \(\mathbb R^N\)