Local and global bifurcation results for a semilinear boundary value problem
From MaRDI portal
Publication:2643104
DOI10.1016/j.jde.2007.05.013zbMath1331.35129OpenAlexW2072722232MaRDI QIDQ2643104
Publication date: 23 August 2007
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2007.05.013
Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Bifurcations in context of PDEs (35B32)
Related Items (22)
The semiflow of a reaction diffusion equation with a singular potential ⋮ A loop type component in the non-negative solutions set of an indefinite elliptic problem ⋮ Bifurcation results for a non-local elliptic equation with a nonlinear boundary condition ⋮ Bifurcation results of positive solutions for an elliptic equation with nonlocal terms ⋮ Global structure of supercritical bifurcation with turning points for the logistic elliptic equation with nonlinear boundary conditions ⋮ Global bifurcation of positive solutions of a quasilinear indefinite Neumann problem in some FLRW spacetimes ⋮ Structure of solutions set of nonlinear eigenvalue problems ⋮ Global bifurcation of positive solutions from zero in nonlinearizable elliptic problems with indefinite weight ⋮ Global structure of positive solutions for second order discrete periodic boundary value problem with indefinite weight ⋮ On linear and nonlinear fourth-order eigenvalue problems with indefinite weight ⋮ Bifurcation approach to a logistic elliptic equation with a homogeneous incoming flux boundary condition ⋮ Pairs of positive periodic solutions of second order nonlinear equations with indefinite weight ⋮ Global structure of positive solutions of a discrete problem with sign-changing weight ⋮ Positive steady states of an indefinite equation with a nonlinear boundary condition: existence, multiplicity, stability and asymptotic profiles ⋮ An indefinite concave-convex equation under a Neumann boundary condition. I ⋮ Global bifurcation results for semilinear elliptic boundary value problems with indefinite weights and nonlinear boundary conditions ⋮ Spectrum of discrete second-order Neumann boundary value problems with sign-changing weight ⋮ Existence and multiplicity of positive solutions of a nonlinear eigenvalue problem with indefinite weight function ⋮ Loop type subcontinua of positive solutions for indefinite concave-convex problems ⋮ On global bifurcation for the nonlinear Steklov problems ⋮ Steady-state solutions and stability for a cubic autocatalysis model ⋮ Bifurcation for a logistic elliptic equation with nonlinear boundary conditions: a limiting case
Cites Work
- Unnamed Item
- Unnamed Item
- Singularities and groups in bifurcation theory. Volume I
- On positive solutions of a linear elliptic eigenvalue problem with Neumann boundary conditions
- A priori bounds and multiple solutions for superlinear indefinite elliptic problems
- Superlinear indefinite elliptic problems and nonlinear Liouville theorems
- A priori estimates for prescribing scalar curvature equations
- Bounded components of positive solutions of abstract fixed point equations: Mushrooms, loops and isolas
- Isolas: compact solution components separated away from a given equilibrium curve
- Compact components of positive solutions for superlinear indefinite elliptic problems of mixed type
- On an indefinite semilinear elliptic problem on \(\mathbb R^N\)
- Positive solutions of a semilinear elliptic equation on \(\mathbb{R}^ N\) with indefinite nonlinearity
- Nonlinear Liouville theorems and a priori estimates for indefinite superlinear elliptic equations
- Some global results for nonlinear eigenvalue problems
- Bifurcation from simple eigenvalues
- Global and local behavior of positive solutions of nonlinear elliptic equations
- On some linear and nonlinear eigenvalue problems with an indefinite weight function
This page was built for publication: Local and global bifurcation results for a semilinear boundary value problem