Non-negative solutions of a sublinear elliptic problem

Julián López-Gómez, Paul H. Rabinowitz, Fabio Zanolin

In this paper the existence of solutions, $(\lambda ,u)$, of the problem $$-\Delta u=\lambda u-a(x)|u{|}^{p-1}uin\; \Omega ,u=0on\partial \Omega ,$$ is explored for $0<p<1$…