Positive Solutions of Elliptic Equations withSingular

نویسندگان

  • Junping Shi
  • Miaoxin Yao
چکیده

In this paper, a nonlinear elliptic boundary value problem with singular nonlinearity is studied, where L is a uniformly elliptic operator, is a bounded domain in R N , N 2, 0 may take the value 0 on @, and f(x; s) is possibly singular near s = 0. Some results regarding the existence of positive solutions for the problem are given under a set of hypotheses that make neither monotonicity nor strict positivity assumption on f(x; s), and they are improvements of some previous results on this subject. Also, a uniqueness criterion is given.

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تاریخ انتشار 1997