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

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19 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number55
JournalBoundary Value Problems
Volume2013
DOIs
Publication statusPublished - 2013

Keywords

  • Capillarity phenomena
  • Genus theory
  • Mountain pass theorem
  • P(x)-Laplacian
  • Variable exponent Sobolev space
  • Variational method

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