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On very weak positive solutions to some semilinear elliptic problems with simultaneous singular nonlinear and spatial dependence terms. (English) Zbl 1234.35098

From the abstract: We use recent results by the first and third authors [Discrete Contin. Dyn. Syst. 27, No. 3, 1037–1058 (2010; Zbl 1198.35095); J. Funct. Anal. 257, No. 3, 807–831 (2009; Zbl 1173.35043)] concerning very weak solutions to linear boundary value problems in order to improve previous work on existence and properties of weak positive solutions to a model example of a semilinear singular elliptic problem.

MSC:

35J61 Semilinear elliptic equations
35D30 Weak solutions to PDEs
35J75 Singular elliptic equations
35B09 Positive solutions to PDEs
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References:

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