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Bifurcation properties for a class of fractional Laplacian equations in RN

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This paper concerns with the study of some bifurcation properties for the following class of nonlocal problems

  • (P)

where N > 2 s , s ( 0 , 1 ) , λ > 0 , f : R N R is a positive continuous function, h : R R is a bounded continuous function and ( Δ ) s u is the fractional Laplacian. The main tools used are the Leray–Shauder degree theory and the global bifurcation result due to Rabinowitz.

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