A-priori bounds and positive solutions to a class of quasilinear elliptic equations

被引:0
|
作者
Montenegro, M [1 ]
de Paiva, FOV [1 ]
机构
[1] Univ Estadual Campinas, IMECC, Dept Matemat, Caixa Postal 6065, BR-13083970 Campinas, SP, Brazil
基金
巴西圣保罗研究基金会;
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D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove a-priori estimates for positive solutions u of the equation -div (vertical bar del u vertical bar(p-2)del U) = f (u) on a bounded domain Omega with u = 0 on partial derivative Omega and 1 < p < 2. Whenever f (u) = u(q) our results include the range p-1 < q < p*-1 and nonconvex domains.
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页码:407 / +
页数:2
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