Existence of nontrivial solutions for singular quasilinear equations with sign changing nonlinearity

Electronic Journal of Differential Equations

关键词: p-Laplacian;    singularity;    multiple solutions;   

DOI  :  

来源: DOAJ

【 摘 要 】

By an application of Bonanno's three critical point theorem,we establish the existence of a nontrivial solution to the problem$$displaylines{-Delta_p u= mu frac{g(x)|u|^{p-2}u}{|x|^p}+lambda a(x)f(u) quad hbox{in }Omega,cru =0quad hbox{on }partial Omega,}$$under some restrictions on g,a and f for certain positivevalues of $mu$ and $lambda$.

【 授权许可】

Unknown