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

     

Some properties of q-biorthogonal polynomials

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

     

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 :

     

On a class of quasilinear systems with sign-changing nonlinearities

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

     

Multiplicity results for a Neumann problem involving the p-Laplacian

In this paper, we establish some multiplicity results for the following Neumann problem:

     

Eigenvalues of p(x)-Laplacian Dirichlet problem

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

     

On the Hyers-Ulam-Rassias stability of an additive functional equation in quasi-Banach spaces

In this paper we investigate the Hyers-Ulam-Rassias stability of the following functional equation:

     

On G-symmetric solutions of a quasilinear elliptic equation involving critical Hardy-Sobolev exponent

This paper deals with the class of singular quasilinear elliptic problem

     

Multiple minimal nodal solutions for a quasilinear Schrödinger equation with symmetric potential

We deal with the quasilinear Schrödinger equation

     

On a superlinear elliptic p-Laplacian equation

We prove the existence of four solutions for the p-Laplacian equation

     

Nontrivial solutions for p-Laplacian systems

The paper deals with the existence and nonexistence of nontrivial nonnegative solutions for the sublinear quasilinear system