Abstract
We consider singular problems of the form in Ω, u=0 on u>0 in Ω, where Ω is a bounded domain in , , and are Carathéodory functions such that is nondecreasing, and is nonincreasing and singular at the origin Additionally, and are allowed to be singular at for Under suitable additional hypotheses on h and k, we prove that there is a positive such that, for any a minimal positive weak solution exists. The monotonicity of and the behaviour of at is addressed. In addition, we prove that no weak solution exists if
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