Estimates for Emden-Fowler type inequalities with absorption term

[摘要] We obtain improved estimates of the Keller-Osserman type for second-order elliptic semilinear inequalities in the non-divergent form sign(u)(a(ij)(x)u(xixj) + b(i)(x)u(xi)) >= c(x)vertical bar x vertical bar(-2)vertical bar u vertical bar(sigma). Special cases of rapidly growing or decaying weights c(x) and planar domains are also treated. (C) 2008 Elsevier Inc. All rights reserved.

[发布日期] 2008-12-15

[关键词] Keller-Osserman type estimates;semilinear elliptic equations;maximum principle;sub- and supersolutions;singularities;exterior domains;nonlinear absorption