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

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

N. T. Chung

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Abstract

In this paper, we consider a class of p(x)-Kirhho type problems with Robin boundary conditions and indenite 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)-Kirhho type problems; Robin boundary condition; Singular weights; Variational methods