Large-time geometric properties of solutions of the evolution p-Laplacian equation

We establish the behavior of the solutions of the degenerate parabolic equation

     

On the multiplicity of positive solutions for p-Laplace equations via Morse theory

Let us consider the quasilinear problem

     

Positive solutions to nonlinear p-Laplace equations with Hardy potential in exterior domains

We study the existence and nonexistence of positive (super)solutions to the nonlinear p-Laplace equation

     

A complete classification of bifurcation diagrams of classes of multiparameter p-Laplacian boundary value problems

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

     

Necessary and sufficient conditions of existence for a system involving the p-Laplacian (1<p<N)

In this work, we study the existence of positive solutions for the system

     

Nontrivial solutions for p-Laplacian systems

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

     

Deduction of L. Hörmander's extension of Ásgeirsson's mean value theorem

L. Hörmander's extension of Ásgeirsson's mean value theorem states that if u is a solution of the inhomogeneous ultrahyperbolic equation (Δ_x−Δ_y)u=f, , , then

     

On a superlinear elliptic p-Laplacian equation

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

     

The two-phase membrane problem—An intersection-comparison approach to the regularity at branch points

For the two-phase membrane problem

     

The spectrum of the periodic p-Laplacian

We consider one-dimensional p-Laplacian eigenvalue problems of the form

     

Variational and non-variational eigenvalues of the p-Laplacian

It is well known that all the eigenvalues of the linear eigenvalue problem

     

The Fredholm alternative for the one-dimensional p-Laplacian

In this paper we consider the solvability of the boundary value problem

     

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

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

     

A priori bounds for superlinear problems involving the N-Laplacian

In this paper we establish a priori bounds for positive solutions of the equation

     

Ordinary p-Laplacian systems with nonlinear boundary conditions

This paper is concerned with the existence of solutions for the boundary value problem

     

Schrödinger-Poisson system with steep potential well

In this paper, we consider the following Schrödinger-Poisson system

     

Periodic solutions for the 1-dimensional p-Laplacian equation

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