Research Article
On a Perturbed Dirichlet Problem for a Nonlocal Differential Equation of Kirchhoff Type
Department of Mathematics, University of Messina, S. Agata, 98166 Messina, Italy
Boundary Value Problems 2011, 2011:891430 doi:10.1155/2011/891430
Published: 9 August 2010Abstract
We study the existence of positive solutions to the following nonlocal boundary value
problem 
in 
, 
on 
, where 
, 
is a Carathéodory function, 
is a positive continuous function, and 
is a real parameter. Direct variational methods are used. In particular, the proof
of the main result is based on a property of the infimum on certain spheres of the
energy functional associated to problem 
in 
, 
.
