sayyed hashem rasouli - Babol University of Technology
mehdi nategh

it this work we consider the nonlinear boundary value problem with nonlinear boundary condition where is a bounded smooth domain of RN with smooth boundarey dev () is the so -called p(x laplacian operator and f and g are caratheodory functions by a direct variational approach and the theory of the variable exponent sobolev spaces under growth conditions on the reaction terms we establish the existence of positive solution.

p(x -laplacian,growth conditions mountain pass lemma