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UPA Perpustakaan Universitas Jember

A note on the existence and multiplicity of solutions for sublinear fractional problems

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In this paper, we study the existence of weak solutions for fractional p-Laplacian equations with sublinear growth and oscillatory behavior as the following
p L K u = λ f (x, u) in  , u =0 in R N \  , p where L K is a nonlocal operator with singular kernel,  is an open bounded smooth domain of R N . Our purpose is to generalize the known results for fractional Laplacian equations to fractional p-Laplacian equations.

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