Abstract
We study a class of nonlocal elliptic equations $$ -M\bigg(\int_{\Omega}|u|^{\gamma}dx\bigg)\Delta u=\lambda f(x,u) $$ with the Dirichlet boundary conditions in bounded domain. Under suitable assumptions on $M$ and the nonlinear term $f$, the existence and new properties of a unique positive solutions are obtained via a monotone operator method and a mixed monotone operator method.
Citation
Ruiting Jiang. Chengbo Zhai. "Properties of unique positive solution for a class of nonlocal semilinear elliptic equation." Topol. Methods Nonlinear Anal. 50 (2) 669 - 682, 2017. https://doi.org/10.12775/TMNA.2017.036