Abstract
In this paper we study the existence of solution for the following class of nonlocal problemsL0u=u(λ−∫ΩQ(x,y)|u(y)|pdy),inΩ, where Ω⊂RN, N≥1, is a smooth bounded domain, p>0, λ is a real parameter, Q:Ω×Ω→R is a nonnegative function, and L0:C(Ω‾)→C(Ω‾) is a nonlocal dispersal operator. The existence of solution is obtained via bifurcation theory.
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