Global bifurcation for a class of degenerate elliptic equations with variable exponents

We are concerned with the following nonlinear problem

     

On the normalized eigenvalue problems for nonlinear elliptic operators II

This paper continues our previous research on the following form of normalized eigenvalue problem

     

Riesz means associated with certain product type convex domain

In this paper we study the maximal operators and the convolution operators Tδ associated with multipliers of the form

     

The Dirichlet problem of higher order quasilinear elliptic equation

The paper is concerned with the Dirichlet problem of higher order quasilinear elliptic equation:

     

Decomposition rank and absorbing extensions of type I algebras

We prove the following: Let A and B be separable C^*-algebras. Suppose that B is a type I C^*-algebra such that

(i)

B has only infinite dimensional irreducible *-representations, and

(ii)

B has finite decomposition rank.

If

0→B→C→A→0     

Boundedness of singular integral operators with variable kernels

Let K be a generalized Calderón-Zygmund kernel defined on Rn×(Rn?{0}). The singular integral operator with variable kernel given by

     

An extension of the Vu-Sine theorem and compact-supercyclicity

If (Tt)_t?0 is a bounded C₀-semigroup in a Banach space X and there exists a compact subset K⊆X such that

     

Dilation equations and Markov operators

Using the theory of Markov operators, we give a new proof of the known fact saying that for every positive integers N and k>1, and for every nonnegative reals c₀,…,cN satisfying the first sum rule the dilation equation

     

Refinement type equations and Grincevi?jus series

We consider L¹-solutions of the following refinement type equations

     

Asymptotic behavior of solutions to a hyperbolic-elliptic coupled system in multi-dimensional radiating gas

This paper is concerned with the asymptotic behavior of solutions to the Cauchy problem of a hyperbolic-elliptic coupled system in the multi-dimensional radiating gas

     

Infinitely many homoclinic orbits for the second order Hamiltonian systems with general potentials

In this paper we study the following nonperiodic second order Hamiltonian systems

     

Multiple solutions for elliptic problems with asymmetric nonlinearity

In this paper we establish the existence of multiple solutions for the semilinear elliptic problem

     

Existence and multiplicity of semiclassical solutions for a Schrödinger equation

We establish the existence and multiplicity of solutions for the semiclassical nonlinear Schrödinger equation

     

On a deterministic linear partial differential system

We develop an Lp theory for the Cauchy problem of linear partial differential systems of the form

     

On multicolour noncomplete Ramsey graphs of star graphs

Given graphs , where k≥2, the notation

     

Strong characterizing sequences of countable groups

András Biró and Vera Sós prove that for any subgroup G of T generated freely by finitely many generators there is a sequence A⊆N such that for all β∈T we have (‖.‖ denotes the distance to the nearest integer)

     

On the Cauchy-Rassias stability of a generalized additive functional equation

Let X and Y be Banach spaces and f:X→Y an odd mapping. We solve the following generalized additive functional equation

     

Asymptotic behavior of the regularized minimizer of an energy functional in higher dimensions

This paper is concerned with the asymptotic behavior of the regularized minimizer uε=(uε1,uε2,…,uεn+1) of an energy functional

     

Irrationality proof of certain Lambert series using little q-Jacobi polynomials

We apply the Padé technique to find rational approximations to