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Existence of weak positive solution for a singular elliptic problem with supercritical nonlinearity. (English) Zbl 1390.35095

Summary: In this paper we consider the existence of weak positive solutions for an elliptic problems with the nonlinearity containing both singular and supercritical terms. By means of a priori estimate and sub-and supersolutions method, a positive weak solution is obtained.

MSC:

35J61 Semilinear elliptic equations
35J57 Boundary value problems for second-order elliptic systems
35B09 Positive solutions to PDEs
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