Ni-Serrin type equations arising from capillarity phenomena with non-standard growth
Department of Mathematics, Faculty of Science, Dicle University, Diyarbakir, 21280, Turkey
Boundary Value Problems 2013, 2013:55 doi:10.1186/1687-2770-2013-55Published: 18 March 2013
In the present paper, in view of the variational approach, we discuss a Ni-Serrin type equation involving non-standard growth condition and arising from the capillarity phenomena. Establishing some suitable conditions, we prove the existence and multiplicity of solutions.
MSC: 35D05, 35J60, 35J70.