On the Fucík spectrum
From MaRDI portal
Publication:924835
DOI10.1016/j.jde.2008.02.021zbMath1148.35055OpenAlexW2161498629MaRDI QIDQ924835
Zhaoli Liu, Chong Li, Pan, Jian Zhong, Shu-Jie Li
Publication date: 19 May 2008
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2008.02.021
differentiabilitysolvabilityimplicit function theoremnodal domainFucík curveFucík spectrumhomotopy index
Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Variational methods for second-order elliptic equations (35J20)
Related Items (11)
Elliptic equations with jumping nonlinearities involving high eigenvalues ⋮ Basis properties of Fučik eigenfunctions ⋮ The Fučík spectrum of Schrödinger operator and the existence of four solutions of Schrödinger equations with jumping nonlinearities ⋮ Bifurcation surfaces stemming from the Fučik spectrum ⋮ Least energy solutions of the Schrödinger-Kirchhoff equation with linearly bounded nonlinearities ⋮ Infinitely many new curves of the Fučík spectrum ⋮ Nonresonance conditions on the potential with respect to the Fučík spectrum for semilinear Dirichlet problems ⋮ Existence of type (II) regions and convexity and concavity of potential functionals corresponding to jumping nonlinear problems ⋮ On Schechter's linking theorems ⋮ Dancer-Fučik spectrum for fractional Schrödinger operators with a steep potential well on \(\mathbb{R}^N\) ⋮ Variational properties of the first curve of the Fučík spectrum for elliptic operators
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Saddle points and multiple solutions of differential equations
- On positive solutions of some pairs of differential equations. II
- 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
- Critical point theory and Hamiltonian systems
- 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
- Analytical and numerical results for the Fučík spectrum of the Laplacian.
- Splitting theorem, Poincaré--Hopf theorem and jumping nonlinear problems
- Infinite dimensional Morse theory and multiple solution problems
- Multiple solutions of asymptotically homogeneous problems
- Structure of the Fučík spectrum and existence of solutions for equations with asymmetric nonlinearities
- Résultats d'existence et de non-existence pour certains problèmes demi-linéaires à l'infini
- 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
- Half-eigenvalues of elliptic operators
- Generic properties of the Fucik spectrum of elliptic operators
This page was built for publication: On the Fucík spectrum
