Department of Mathematics, University of Messina, S. Agata, 98166 Messina, Italy
Copyright © 2011 Giovanni Anello. This is an open access article distributed under the
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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 , .