One-dimensional elliptic equation with concave and convex nonlinearities

Electronic Journal of Differential Equations

关键词: m-Laplacian;    concave-convex nonlinearities;    exactness results;    time-maps.;   

DOI  :  

来源: DOAJ

【 摘 要 】

We establish the exact number of positive solutions for the boundary-value problem $$displaylines{ -(|u'|^{m-2} u')'=lambda u^q + u^pquad hbox{in }(0,1)cr u(0)= u(1)=0,, }$$ where $0leq q < m- 1 < p$ and $lambda$ is positive.

【 授权许可】

Unknown