Abstract
In this note, we are concerned with positive solutions for a class of singular elliptic equations. Under some conditions, we obtain weak solutions for the equations by elliptic regularization method and sub-super solution method.
Highlights
We are concerned with following singular elliptic problem: z′′
F (r, z) satisfies the following condition: (H1) f (r, z) ∈ C1([0, 1] × [0, ∞), [c0, ∞)) for sufficiently small c0 > 0, and f is non-increasing with respect to z. They showed that the above problem has at least one classical solution
Note that solutions of (1)(2) are radial solutions of problem (3) with r = |x|, which may be transformed into following problem with infinite boundaries if we set γ = 1(or γ =
Summary
We are concerned with following singular elliptic problem: z′′ In [1], the authors studied the problem z′′ + In [4], Xia and Yao studied following problem z′′ + Subject to the following four-point boundary conditions: z(0) = z(1) = 0, z′(0) = z′(1) = 0.
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