Article ID Journal Published Year Pages File Type
4624076 Journal of Mathematical Analysis and Applications 2006 11 Pages PDF
Abstract

We study the existence of positive solutions of the m-polyharmonic nonlinear elliptic equation m(−Δ)u+f(⋅,u)=0 in the half-space , n⩾2 and m⩾1. Our purpose is to give two existence results for the above equation subject to some boundary conditions, where the nonlinear term f(x,t) satisfies some appropriate conditions related to a certain Kato class of functions .

Related Topics
Physical Sciences and Engineering Mathematics Analysis