Estimates for solutions of quasilinear problems with dead cores
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AbstractA Rayleigh-Faber-Krahn type inequality is used to
derive bounds for boundary value problems appearing in
reaction-diffusion problems where the reactant is consumed.
Interesting quantities are the minimum of the solution and the
measure of the set where it vanishes. The proofs are rather
elementary and apply to problems possessing solutions in a weak
sense.
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