Abstract:
In this paper, we consider the bifurcation problem for the fractional Laplace equation
urn:x-wiley:0025584X:media:mana201600250:mana201600250-math-0001
where urn:x-wiley:0025584X:media:mana201600250:mana201600250-math-0002 is an open bounded subset with smooth boundary, urn:x-wiley:0025584X:media:mana201600250:mana201600250-math-0003 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-0004
and, conversely.