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

Boundary value problems

Mustafa Avci¹ 

[1] Department of Mathematics, Faculty of Science, Dicle University, Diyarbakir, Turkey

关键词: variable exponent Sobolev space;    mountain pass theorem;    genus theory;    variational method;    capillarity phenomena;   

DOI  :  10.1186/1687-2770-2013-55

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY