Bifurcation of nonlinear elliptic system from the first eigenvalue.
Bifurcation of periodic solutions to nonlinear measure differential equations
The paper is devoted to the periodic bifurcation problems for generalizations of ordinary differential systems. The bifurcation is understood in the static sense of Krasnoselski and Zabreko. First, the conditions necessary for the given point to be bifurcation point for non autonomous generalized ordinary differential equations (based on the Kurzweil gauge type generalized integral) are proved. Then, as the main contribution, analogous results are obtained also for the nonlinear non autonomous measure...
Bilinear multipliers on Lorentz spaces
We give one sufficient and two necessary conditions for boundedness between Lebesgue or Lorentz spaces of several classes of bilinear multiplier operators closely connected with the bilinear Hilbert transform.
Bilinear operators associated with Schrödinger operators
Let L = -Δ + V be a Schrödinger operator in and be the Hardy type space associated to L. We investigate the bilinear operators T⁺ and T¯ defined by , where T₁ and T₂ are Calderón-Zygmund operators related to L. Under some general conditions, we prove that either T⁺ or T¯ is bounded from to for 1 < p,q < ∞ with 1/p + 1/q = 1. Several examples satisfying these conditions are given. We also give a counterexample for which the classical Hardy space estimate fails.
BIlinear Operators with Non-Smooth Symbol, I.
Birkhoff-Kellogg theorems on invariant directions for multimaps.
Block iterative methods for a finite family of relatively nonexpansive mappings in Banach spaces.
Borsuk-Ulam Sätze und Abbildungen mit kompakten Iterierten [Book]
Borsuk-Ulam type theorems
A generalization of the theorem of Bajmóczy and Bárány which in turn is a common generalization of Borsuk's and Radon's theorem is presented. A related conjecture is formulated.
Bound sets and two-point boundary value problems for second order differential systems
The solvability of second order differential systems with the classical separated or periodic boundary conditions is considered. The proofs use special classes of curvature bound sets or bound sets together with the simplest version of the Leray-Schauder continuation theorem. The special cases where the bound set is a ball, a parallelotope or a bounded convex set are considered.
Boundary value problem for an infinite system of second order differential equations in spaces
The concept of measures of noncompactness is applied to prove the existence of a solution for a boundary value problem for an infinite system of second order differential equations in space. We change the boundary value problem into an equivalent system of infinite integral equations and result is obtained by using Darbo’s type fixed point theorem. The result is illustrated with help of an example.
Boundary value problems for differential equations with deviating arguments
Boundary value problems for first order multivalued differential systems
We present some existence results for boundary value problems for first order multivalued differential systems. Our approach is based on topological transversality arguments, fixed point theorems and differential inequalities.
Boundary value problems for nonlinear partial differential equations in anisotropic Sobolev spaces
Boundary value problems for nonlinear perturbations of some ϕ-Laplacians
This paper surveys a number of recent results obtained by C. Bereanu and the author in existence results for second order differential equations of the form (ϕ(u'))' = f(t,u,u') submitted to various boundary conditions. In the equation, ϕ: ℝ → ≤ ]-a,a[ is a homeomorphism such that ϕ(0) = 0. An important motivation is the case of the curvature operator, where ϕ(s) = s/√(1+s²). The problems are reduced to fixed point problems in suitable function space, to which Leray-Schauder...
Boundary value problems with bounded -Laplacian and nonlocal conditions of integral type
We study the existence of solutions to nonlinear boundary value problems for second order quasilinear ordinary differential equations involving bounded -Laplacian, subject to integral boundary conditions formulated in terms of Riemann-Stieltjes integrals.
Bounded approximants to monotone operators on Banach spaces
Bounds on Nonlinear Operators in Finite-dimensional Banach Spaces.
Bourgin–Yang-type theorem for -compact perturbations of closed operators. I: The case of index theories with dimension property.
Branching of Solutions of a Class of Nonlinear Equations.