【摘要】 该文利用变分方法讨论了方程-△pu=λa(x)(u+)q-1-μa(x)(u-)q-1+f(x,u),u∈W1,p 0(Ω).当p≠q时的可解性.其中Ω是RN(N≥3)中的有界光滑区域,权重函数a(x)∈L1(Ω),(r≥Np/Np-Nq+pq)且a(x)>0,a.e.于Ω,f满足某些条件.更多还原

【Abstract】 In the paper, by using the variational methods, the authors consider the solvability of the equation -△pu =λa(x)(u+)q-1 -μa(x)(u-)q-1 + f(x,u). u∈W0 1.p(Ω) in the case of p≠q, where 0 is a bounded domain in RN(N≥3), the weight function a(x)∈Lr(Ω) (r > Np/Np-Nq+pq),with a(x) > 0, a.e. inΩ, and f satisfies some conditions.更多还原