Positive solutions to involving Wolff potentials

Existence of three positive solutions for nonsmooth functional involving the p-biharmonic operator

This paper is concerned with the study of the existence of positive solutions for a Navier boundaryvalue problem involving the p-biharmonic operator; the right hand side of problem is a nonsmoothfunctional with variable parameters. The existence of at least three positive solutions is establishedby using nonsmooth version of a three critical points theorem for discontinuous functions. Our resul...

existence of three positive solutions for nonsmooth functional involving the p-biharmonic operator

this paper is concerned with the study of the existence of positive solutions for a navier boundaryvalue problem involving the p-biharmonic operator; the right hand side of problem is a nonsmoothfunctional with variable parameters. the existence of at least three positive solutions is establishedby using nonsmooth version of a three critical points theorem for discontinuous functions. our resul...

Existence of positive solutions to elliptic problems involving the fractional Laplacian

Positive Solutions to Quasilinear Equations Involving Critical Exponent on Perturbed Annular Domains

In this paper we study the existence of positive solutions for the problem −∆pu = u ∗−1 in Ω and u = 0 on ∂Ω where Ω is a perturbed annular domain (see definition in the introduction) and N > p ≥ 2. To prove our main results, we use the Concentration-Compactness Principle and variational techniques.

Positive Solutions to Second Order Singular Differential Equations Involving the One-dimensional M-laplace Operator

We consider a class of second order quasilinear differential equations with singular ninlinearities. Our main purpose is to investigate in detail the asymptotic behavior of their solutions defined on a positive half-line. The set of all possible positive solutions is classified into five types according to their asymptotic behavior near infinity, and sharp conditions are established for the exi...