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Solutions of semiclassical states for perturbed p-Laplacian equation with critical exponent

Solutions of semiclassical states for perturbed p-Laplacian equation with critical exponent

In this paper, we study semiclassical states for perturbed p-Laplacian equations. Under some given conditions and minimax methods, we show that this problem has at least one positive solution provided that ; for any , it has m pairs of solutions if , where ℰ, are sufficiently small positive numbers. …