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math.AP2011
On stationary solutions to reaction-diffusion equations with nonlocal term
Robert Stańczy
In this paper we obtain the existence of a radial solution for some elliptic nonlocal problem with constraints. The problem arises from some reaction-diffusion equation modelling a…
math.AP2009
On an evolution system describing self-gravitating particles in microcanonical setting
Robert Stańczy
The global in time existence of solutions of a system describing the interaction of gravitationally attracting particles with a general diffusion term and fixed energy is proved. T…