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.
|Journal||Boundary Value Problems|
|Publication status||Published - 2013|
- Capillarity phenomena
- Genus theory
- Mountain pass theorem
- Variable exponent Sobolev space
- Variational method