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

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

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