On a radial positive solution to a nonlocal elliptic equation
Copyright policy )On a radial positive solution to a nonlocal elliptic equation
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.
Fixed-point theorems, Boundary value problems for second-order elliptic equations, fixed point, Applications of operator theory to differential and integral equations, nonlocal elliptic equation, radial solution, Nonlinear elliptic equations
Fixed-point theorems, Boundary value problems for second-order elliptic equations, fixed point, Applications of operator theory to differential and integral equations, nonlocal elliptic equation, radial solution, Nonlinear elliptic equations
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