Bifurcation surfaces stemming from the Fučik spectrum

DOI10.1016/j.jfa.2012.09.018zbMath1394.35307OpenAlexW2089340257MaRDI QIDQ1932186

Publication date: 17 January 2013

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2012.09.018

zbMATH Keywords

Fučik spectrum implicit function theorem bifurcation surface bifurcation theorem

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) General topics in linear spectral theory for PDEs (35P05) Bifurcations in context of PDEs (35B32) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (1)

Dancer-Fučik spectrum for fractional Schrödinger operators with a steep potential well on \(\mathbb{R}^N\)

Cites Work

Periodic solutions of asymptotically positively homogeneous differential equations
Solutions of elliptic problems with nonlinearities of linear growth
On the Fucík spectrum
Some remarks on the number of solutions of some nonlinear elliptic problems
Partial regularity of the zero-set of solutions of linear and superlinear elliptic equations
On the existence of solutions of certain asymptotically homogeneous problems
Type II regions between curves of the Fučik spectrum and critical groups
Generic domain dependence for non-smooth equations and the open set problem for jumping nonlinearities
On the first curve of the Fučik spectrum of an elliptic operator
Type (II) regions between curves of the Fučik spectrum
Existence results for resonant perturbations of the Fučik spectrum
Analytical and numerical results for the Fučík spectrum of the Laplacian.
Multiple solutions of asymptotically homogeneous problems
The Fucik spectrum of general Sturm-Liouville problems
Bifurcation, perturbation of simple eigenvalues, and linearized stability
Imperfect transcritical and pitchfork bifurcations
Bifurcation from simple eigenvalues
Some aspects of nonlinear eigenvalue problems
Structure of the Fučík spectrum and existence of solutions for equations with asymmetric nonlinearities
Boundary value problems with jumping nonlinearities
Boundary-value problems for weakly nonlinear ordinary differential equations
On the Dirichlet problem for weakly non-linear elliptic partial differential equations
A generic property of the resonance set of an elliptic operator with respect to the domain
Generic properties of the Fucik spectrum of elliptic operators
Methods in Nonlinear Analysis
Unnamed Item
Unnamed Item
Unnamed Item

This page was built for publication: Bifurcation surfaces stemming from the Fučik spectrum