Elliptic equations in R2 with nonlinearities in the critical growth range
Elliptic equations in R2 with nonlinearities in the critical growth range
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DOI：
10.1007/bf01205003
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发表时间：
1995
影响因子：
2.1
通讯作者：
D. G. Figueiredo;O. Miyagaki;B. Ruf
中科院分区：
文献类型：
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作者：
D. G. Figueiredo;O. Miyagaki;B. Ruf
本文研究了$$ - \Updelta u = f（x，u）\;\Upomega，u = 0\;\partial \Upomega，$$其中$$ \Upomega $$是R2中的某个有界域，函数f（x，s）具有最大的增长，这允许在$$ H_{0}^{1}（\Upomega）$$中变分地处理问题。
In this paper we study the solvability of problems of the type $$ - \Updelta u = f(x,u)\;{\text{in}}\;\Upomega ,\;u = 0\;{\text{on}}\;\partial \Upomega , $$ where $$ \Upomega $$ is some bounded domain inR2, and the functionf(x,s) has the maximal growth onswhich allows to treat problem variationally in $$ H_{0}^{1} (\Upomega ) $$.