Abstract

AbstractIn this paper, we consider the bifurcation problem for the fractional Laplace equation urn:x-wiley:0025584X:media:mana201600250:mana201600250-math-0001where is an open bounded subset with smooth boundary, stands for the fractional Laplacian. We show that a continuum of solutions bifurcates out from the principal eigenvalue λ1 of the problem urn:x-wiley:0025584X:media:mana201600250:mana201600250-math-0004and, conversely.

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