
On𝓅 ( x ) -Kirchhoff-type equation involving𝓅 ( x ) -biharmonic operator via genus theor
Author(s) -
Said Taarabti,
Zakaria El Allali,
Khalil Ben Haddouch
Publication year - 2020
Publication title -
ukraïnsʹkij matematičnij žurnal
Language(s) - English
Resource type - Journals
ISSN - 1027-3190
DOI - 10.37863/umzh.v72i6.6019
Subject(s) - algorithm , computer science
UDC 517.9 The paper deals with the existence and multiplicity of nontrivial weak solutions for the ( x ) -Kirchhoff-type problem,u = Δ u = 0 o n ∂ Ω .By using variational approach and Krasnoselskii’s genus theory, we prove the existence and multiplicity of solutions for the ( x ) -Kirchhoff-type equation.