On a diffusion model with absorption and production
Copyright policy )On a diffusion model with absorption and production
We discuss the structure of radial solutions of some superlinear elliptic equations which model diffusion phenomena when both absorption and production are present. We focus our attention on solutions defined in R (regular) or in R \ {0} (singular) which are infinitesimal at infinity, discussing also their asymptotic behavior. The phenomena we find are present only if absorption and production coexist, i.e., if the reaction term changes sign. Our results are then generalized to include the case where Hardy potentials are considered.
Dynamical Systems (math.DS), Fowler transformation; Hardy potentials; Invariant manifold; Radial solution; Regular/singular ground states; Supercritical equations., Hardy potential, FOS: Mathematics, Supercritical equations., Fowler transformation, Radial solution, Fowler transformation; Hardy potentials; Invariant manifold; Radial solution; Regular/singular ground states; Supercritical equations; Analysis; Medicine (all); Engineering (all); Economics; Econometrics and Finance (all)2001 Economics; Econometrics and Finance (miscellaneous); Computational Mathematics; Applied Mathematics, Mathematics - Dynamical Systems, Invariant manifold, Regular/singular ground state
Dynamical Systems (math.DS), Fowler transformation; Hardy potentials; Invariant manifold; Radial solution; Regular/singular ground states; Supercritical equations., Hardy potential, FOS: Mathematics, Supercritical equations., Fowler transformation, Radial solution, Fowler transformation; Hardy potentials; Invariant manifold; Radial solution; Regular/singular ground states; Supercritical equations; Analysis; Medicine (all); Engineering (all); Economics; Econometrics and Finance (all)2001 Economics; Econometrics and Finance (miscellaneous); Computational Mathematics; Applied Mathematics, Mathematics - Dynamical Systems, Invariant manifold, Regular/singular ground state
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