A priori estimates of positive solutions for sublinear elliptic equations

Ryuji Kajikiya · Transactions of the American Mathematical Society · 2009

In this paper, a priori estimates of positive solutions for sublinear elliptic equations are given in terms of thicknesses of domains. To this end, a supersolution is constructed by a composite function of a solution to an ordinary differential equation and a distance function. The results work efficiently in the case where the domain is an exterior or an interior of a convex set.

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