Ni-Serrin type equations arising from capillarity phenomena with non-standard growth

作者：Avci Mustafa^*

来源：Boundary Value Problems, 2013, 2013(1): 55.

DOI：10.1186/1687-2770-2013-55

• p(x)-Laplacian
• variable exponent Sobolev space
• mountain pass theorem
• genus theory
• variational method
• capillarity phenomena

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.

• 出版日期2013-3-18