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ON THE EXISTENCE OF POSITIVE ENTIRE SOLUTIONS FOR SINGULAR p-LAPLACE EQUATIONS 被引量:2
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作者 Wu Jiongqi 《Annals of Differential Equations》 2005年第4期592-597,共6页
In this paper N-dimensional singular, p-Laplace equations of the following form △pu:=N↑∑↑i=1Di(|Du|^p-2Diu)=f(|x|,u,|Du|u^-β,x∈R^N(N≥3) are considered, where p≥N,β〉0,and f:[0,∞)×[0,∞)&#... In this paper N-dimensional singular, p-Laplace equations of the following form △pu:=N↑∑↑i=1Di(|Du|^p-2Diu)=f(|x|,u,|Du|u^-β,x∈R^N(N≥3) are considered, where p≥N,β〉0,and f:[0,∞)×[0,∞)×[0,∞)is a continuous tunctlon. Some sufficient conditions are obtained for the existence of infinitely many radially positive entire solutions of the equation which are asymptotic to positive constant multiples of |x|^(p-N)/(p-1) for p〉N or log|x| for N-p as |x|→∞. 展开更多
关键词 p-Laplace operator positive entire solutions singular equation fixed point theorem
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