Existence and uniqueness of positive solutions for a nonhomogeneous Kirchhoff type equation

[[abstract]]本篇論文主要內容為，探討下列克希何夫型方程之正解的存在與唯一性當Ω是一個在RN上的平滑有界定義域，f為非負，0≦g(x,u)≦c1u(p-1)+c2u且c1>0，c2[0,1)為常數，2<p≦2*與參數a，b，λ>0。 In this thesis, we consider the existence and uniqueness of positive solutions of the following Kirchhoff type equation where Ω is a smooth bounded domain in RN, f is nonnegative, 0≦g(x,u)≦c1u(p-1)+c2u with c1>0, c2[0,1) being some constants, 2<p≦2* and the parameters a, b, λ>0