On a radial positive solution to a nonlogical elliptic equation (Q1411262)
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scientific article; zbMATH DE number 1997219
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a radial positive solution to a nonlogical elliptic equation |
scientific article; zbMATH DE number 1997219 |
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On a radial positive solution to a nonlogical elliptic equation (English)
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27 October 2003
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The paper deals with Dirichlet boundary value problem for the nonlinear Poisson equation with nonlocal term \[ - \Delta u = f (u, \int_U g \circ u) \] \[ u| _{\partial U} = 0, \] where \(U\) is assumed to be an annulus or a ball. Existence of solutions is obtained via fixed point theorems for increasing compact operators.
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nonlocal elliptic equation
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radial solution
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fixed point
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