Multiple positive solutions for some P-Laplacian nonlinear problem at infinity

Mathematics

Abstract

In recent years, the boundary value problem of second-order has received a lot of attention. In this paper, I study the existence of positive solutions for a class of p-Laplacian boundary value problem at infinity. The fixed point theorems in cones are our main tools to prove the existence of solutions. I provide sufficient conditions under which this system has a solution. I establish some propositions to prove the existence of positive solutions for these equations.