### On a radial positive solution to a nonlocal elliptic equation

DOI: http://dx.doi.org/10.12775/TMNA.2003.017

#### 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.

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.

#### Keywords

35J65

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