Eigenvalues of p(x)-Laplacian Dirichlet problem

This paper studies the eigenvalues of the p(x)-Laplacian Dirichlet problem

     

On p-adic q-l-functions and sums of powers

In this paper, we give an explicit p-adic expansion of

     

Positive solutions for a class of p-Laplacian systems with multiple parameters

Consider the system

     

Asymptotic stability in perturbed delay difference systems

Consider the delay difference system

     

Functional evolution equations

Of concern is the functional evolution equation

     

Some integrals of the Dedekind η-function

This note presents selected values of the class of integrals

     

Asymptotical behavior of one class of p-adic singular Fourier integrals

We study the asymptotical behavior of the p-adic singular Fourier integrals

     

Wave operators to a quadratic nonlinear Klein-Gordon equation in two space dimensions

We study asymptotics around the final states of solutions to the nonlinear Klein-Gordon equations with quadratic nonlinearities in two space dimensions , where . We prove that if the final states

     

Bounded perturbations of homogeneous quasilinear operators using bifurcations from infinity

This paper deals with existence results for the following nonlinear problem with the Dirichlet p-Laplacian Δ_p in a bounded domain :

     

Integral representation of holomorphic mappings on fully nuclear spaces

We obtain the following integral representation:

     

Integral-type operators between α-Bloch spaces and Besov spaces on the unit ball

Let H(B) denote the space of all holomorphic functions on the unit ball B⊂Cⁿ. The boundedness and compactness of the following integral-type operators

     

Some properties of q-biorthogonal polynomials

Almost four decades ago, Konhauser introduced and studied a pair of biorthogonal polynomials

     

On a class of quasilinear systems with sign-changing nonlinearities

We prove existence and nonexistence of positive solutions for the quasilinear system