Global branching for discontinuous problems
Hopf bifurcation for fully nonlinear equations in Banach space
Hopf bifurcation of a mathematical model for growth of tumors with an action of inhibitor and two time delays.
Hopf bifurcation with the spatial average of an activator in a radially symmetric free boundary problem.
Interaction of Turing and Hopf Modes in the Superdiffusive Brusselator Model Near a Codimension Two Bifurcation Point
Spatiotemporal patterns near a codimension-2 Turing-Hopf point of the one-dimensional superdiffusive Brusselator model are analyzed. The superdiffusive Brusselator model differs from its regular counterpart in that the Laplacian operator of the regular model is replaced by ∂α/∂|ξ|α, 1 < α < 2, an integro-differential operator that reflects the nonlocal behavior of superdiffusion. The order of the operator, α, is a measure of the rate of ...
La méthode de Kikuchi appliquée aux équations de von Karman.
Le equazioni funzionali in analisi non lineare
Lie-point symmetries in bifurcation problems
Local properties of the solution set of the operator equation in Banach spaces in a neighbourhood of a bifurcation point
In this work we study the problem of the existence of bifurcation in the solution set of the equation F(x, λ)=0, where F: X×R k →Y is a C 2-smooth operator, X and Y are Banach spaces such that X⊂Y. Moreover, there is given a scalar product 〈·,·〉: Y×Y→R 1 that is continuous with respect to the norms in X and Y. We show that under some conditions there is bifurcation at a point (0, λ0)∈X×R k and we describe the solution set of the studied equation in a small neighbourhood of this point.
Lyapunov center theorem for some nonlinear PDE's : a simple proof
Minimax characterization of solutions for a semi-linear elliptic equation with lack of compactness
Modélisation du champ de retard à la condensation d'un supraconducteur par un problème de bifurcation
Multiple radial solutions for a semilinear Dirichlet problem in a ball
Multiple solutions for a elliptic system in exterior domain.
Multiple Solutions for Some Semilinear Elliptic Equations.
Multiplicity of solutions of nonlinear boundary value problems with nonlinearities crossing several higher eigenvalues.
New solutions of equations on
Nonlinear boundary value problems describing mobile carrier transport in semiconductor devices
The present paper describes mobile carrier transport in semiconductor devices with constant densities of ionized impurities. For this purpose we use one-dimensional partial differential equations. The work gives the proofs of global existence of solutions of systems of such kind, their bifurcations and their stability under the corresponding assumptions.
Nonlinear eigenvalues and bifurcation problems for Pucci's operators
Notes on some recent methods in bifurcation theory