Uniqueness results and asymptotic behavior of solutions with boundary blow-up for logistic-type porous media equations |
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| Authors: | Yujuan Chen and Mingxin Wang |
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| Affiliation: | (1) Department of Mathematics, The Australian National University, Canberra, ACT 0200, Australia;(2) Dipartimento di Matematica e Applicazioni “R. Caccioppoli”, Universit? degli Studi di Napoli “Federico II”, Complesso M. S. Angelo, Via Cintia, 80126 Napoli, Italy |
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| Abstract: | Under the proper structure conditions on the nonlinear term f(u) and weight function b(x), the paper shows the uniqueness and asymptotic behavior near the boundary of boundary blow-up solutions to the porous media equations of logistic type −Δu = a(x)u 1/m − b(x)f(u) with m > 1. |
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