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
基金The work is supported by the National Natural Science Foundation of China (10271056)the Natural Science Foundation of Fujian Province (F00018).
文摘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｜→∞.
