Abstract
The existence of a solution to the Dirichlet boundary value problem for nonlinear Poisson equations with the nonlocal nonlinear term $$ -\Delta u=f\bigg(u,\int (g\circ u)\bigg),\quad u\vert\partial U=0, $$ is proved by means of fixed point theorems for increasing compact operators.
Citation
Piotr Fijałkowski. Bogdan Przeradzki. "On a radial positive solution to a nonlocal elliptic equation." Topol. Methods Nonlinear Anal. 21 (2) 293 - 300, 2003.
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