Topological degree methods for a Neumann problem governed by nonlinear elliptic equation

Abstract

In this paper, we will use the topological degree, introduced by Berkovits, to prove existence of weak solutions to a Neumann boundary value problems for the following nonlinear elliptic equation

Keywords

• weak solution
• neumann boundary condition
• berkovits topological degree
• sobolev spaces
• 35j25
• 35j20
• 49j30