Critical growth problems for polyharmonic operators
Critical growth problems for polyharmonic operators
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DOI：
10.1017/s0308210500012774
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发表时间：
1998
期刊：
影响因子：
--
通讯作者：
F. Gazzola
中科院分区：
文献类型：
--
作者：
F. Gazzola
我们证明了多谐算子的临界生长问题对于临界项的一大类低阶扰动具有非平凡解。结果突出了Pucci和Serrin发现的临界维度的分岔现象；此外，我们证明了另一种分叉似乎出现在“非共振”维度上。
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.