On a radial positive solution to a nonlocal elliptic equation
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35J65Abstract
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.Downloads
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2003-06-01
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FIJALKOWSKI, Piotr and PRZERADZKI, Bogdan. On a radial positive solution to a nonlocal elliptic equation. Topological Methods in Nonlinear Analysis. Online. 1 June 2003. Vol. 21, no. 2, pp. 293 - 300. [Accessed 28 March 2024].
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