EXISTENCE OF ONE WEAK SOLUTION FOR p(x)-BIHARMONIC EQUATIONS INVOLVING A CONCAVE-CONVEX NONLINEARITY

Ayazoglu (Mashiyev), RabilAlisoy, GulizarEkincioglu, Ismail2024-10-292024-10-2920170025-51652406-0682https://hdl.handle.net/20.500.11776/14972In the present paper, using variational approach and the theory of the variable exponent Lebesgue spaces, the existence of nontrivial weak solutions to a fourth order elliptic equation involvinga p(x)-biharmonic operator and a concave-convex nonlinearity the Navier boundary conditionsis obtained.eninfo:eu-repo/semantics/closedAccessCritical pointsp(x)-biharmoni coperatorNavier boundary conditionsconcave-convex nonlinearitiesMountain Pass TheoremEkeland's variational principleEXISTENCE OF ONE WEAK SOLUTION FOR p(x)-BIHARMONIC EQUATIONS INVOLVING A CONCAVE-CONVEX NONLINEARITYArticle694296307N/AWOS:000419233600007