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

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

     

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 :

     

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

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

     

Eigenvalues of p(x)-Laplacian Dirichlet problem

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

     

Multiplicity of positive solutions to a p-Laplacian equation involving critical nonlinearity

In this paper we deal with multiplicity of positive solutions to the p-Laplacian equation of the type

     

Classification of bifurcation diagrams of a p-Laplacian Dirichlet problem with examples

We study bifurcation diagrams of positive solutions of the p-Laplacian Dirichlet problem

     

On a superlinear elliptic p-Laplacian equation

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

     

A one side superlinear Ambrosetti-Prodi problem for the Dirichlet p-laplacian

We study the solvability of the quasilinear elliptic problem of parameter s

     

Existence of multiple positive solutions for one-dimensional p-Laplacian

In this paper we consider the multipoint boundary value problem for one-dimensional p-Laplacian

     

On the equipartition of energy for the critical NLW

We study some qualitative properties of global solutions to the following focusing and defocusing critical NLW:

     

A double inequality for a generalized-Euler-constant function

The rate of convergence of the sequence , a>0, towards the generalized Euler?s constant , where γ(1) is the Euler-Mascheroni constant, is accurately estimated using the Euler-Maclaurin summation formula. The expression

     

Periodic solutions for the 1-dimensional p-Laplacian equation

Existence of infinitely many periodic solutions for the 1-dimensional p-Laplacian equation

     

The existence of countably many positive solutions for a system of nonlinear singular boundary value problems with the p-Laplacian operator

In this paper, we study the existence of countable many positive solutions for a class of nonlinear singular boundary value systems with p-Laplacian operator:

     

Positive solution of three-point boundary value problem for the one-dimensional p-Laplacian with singularities

In the paper, we deal with positive solutions of the following nonlinear three-point singular boundary value problem with a p-Laplacian operator:

     

On a generalization of Mittag-Leffler function and its properties

Let s and z be complex variables, Γ(s) the Gamma function, and for any complex ν the generalized Pochhammer symbol. The principal aim of the paper is to investigate the function

     

Boundedness of solutions for nonlinear reversible system at resonance

In this paper, we are concerned with the problem of boundedness of solutions for the following nonlinear p-Laplacian: