Title of article :
ON A CLASS OF p(x)-KIRHHOFF TYPE PROBLEMS WITH ROBIN BOUNDARY CONDITIONS and INDEFINITE WEIGHTS
Author/Authors :
THANH CHUNG, NGUYEN Quang Binh University - Department of Mathematics - Ly Thuong Kiet, Dong Hoi - Quang Binh, Vietna
Abstract :
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.
Keywords :
p(x)-Kirhhoff type problems , Robin boundary condition , Singular weights , Variational methods
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
