Existence of one weak solution for p(X)-biharmonic equations involving a concave-convex nonlinearity

Mashiyev R.A.Alisoy G.Ekincioglu I.20.04.20192019-04-2020.04.20192019-04-2020170025-5165https://hdl.handle.net/20.500.12403/561In 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 involving a p(x)-biharmonic operator and a concave-convex nonlinearity the Navier boundary conditions is obtained. © 2017, Drustvo Matematicara Srbije. All rights reserved.eninfo:eu-repo/semantics/closedAccessConcave-convex nonlinearitiesCritical pointsEkeland’s variational principleMountain Pass TheoremNavier boundary conditionsP(x)-biharmonic operatorConcave-convex nonlinearitiesCritical pointsEkeland’s variational principleMountain Pass TheoremNavier boundary conditionsP(x)-biharmonic operatorExistence of one weak solution for p(X)-biharmonic equations involving a concave-convex nonlinearityArticle6942963072-s2.0-85049183567N/A