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The purpose of this paper is to use an appropriate variational framework to discuss the boundary value problem with p-Laplacian type operators where β1, β2 > 0, I = [0, 1]k2, α (·, x(·)) is an operator of p-Laplacian type, T is a time scale. Some sufficient conditions for the existence of constant-sign solutions are obtained. © 2012 The Korean Mathematical Society.

CONSTANT-SIGN SOLUTIONS OF p-LAPLACIAN TYPE OPERATORS ON TIME SCALES VIA VARIATIONAL METHODS