【摘要】 该文考虑-Δu =g(x) |u|q- 2 u +λ|u|p- 2 u +f(x) ,x∈Ω,u| Ω =0 ,g,f∈ L∞ (Ω ) ,1 <q <2 <p≤ 2 NN - 2 ,给出了 g(x)是变号函数、负值函数时 ,方程的可解性、正解的存在性以及多解性更多还原

【Abstract】 This paper deals with a class of semilinear elliptic Dirichlet boundary value problems with the sign changing or negative coefficient funtion for concave nonlinearities of the form \$|u|\+\{q-2\}u,1<q<2,\$ to establish some existence and multiplicity results.更多还原