Dergiler / TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics / 2020 / Cilt: 10 - Sayı: 2

ON A CLASS OF p(x)-KIRHHOFF TYPE PROBLEMS WITH ROBIN BOUNDARY CONDITIONS AND INDEFINITE WEIGHTS

Sayfa
400–410
DOI
—

Özet

In this paper, we consider a class of p(x)-Kirhhoff type problems with Robin boundary conditions and indefinite weights. Under some suitable conditions on the nonlinearities, we establish the existence of at least one non-trivial weak solution for the problem by using the minimum principle and the Ekeland variational principle.