On a radial positive solution to a nonlocal elliptic equation | Zendy

Piotr Fijałkowski | Zendy; Bogdan Przeradzki | Zendy

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On a radial positive solution to a nonlocal elliptic equation

Author(s) -

Piotr Fijałkowski,

Bogdan Przeradzki

Publication year - 2003

Publication title -

topological methods in nonlinear analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.623

H-Index - 23

ISSN - 1230-3429

DOI - 10.12775/tmna.2003.017

Subject(s) - mathematics , nonlinear system , mathematical analysis , boundary value problem , fixed point theorem , dirichlet problem , poisson's equation , dirichlet boundary condition , term (time) , dirichlet distribution , elliptic curve , elliptic boundary value problem , pure mathematics , free boundary problem , physics , quantum mechanics

The existence of a solution to the Dirichlet boundary value problem fornonlinear 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.

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