Critical growth problems for polyharmonic operators

被引：32
作者：
Gazzola, F [1 ]
机构：
[1] Dipartimento Sci TA, I-15100 Alessandria, Italy
来源：
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 1998年 / 128卷
关键词：
D O I：
10.1017/S0308210500012774
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that critical growth problems for polyharmonic operators admit nontrivial solutions for a wide class of lower-order perturbations of the critical term. The results highlight the phenomenon of bifurcation of the critical dimensions discovered by Pucci and Serrin; moreover, we show that another bifurcation seems to appear for 'nonresonant' dimensions.
引用
收藏
页码：251 / 263
页数：13
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