Abstract
We prove existence, regularity and nonexistence results for problems whose model is
with zero Dirichlet conditions on the boundary of an open, bounded subset Ω of \({\mathbb{R}^{N}}\). Here γ > 0 and f is a nonnegative function on Ω. Our results will depend on the summability of f in some Lebesgue spaces, and on the values of γ (which can be equal, larger or smaller than 1).
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Boccardo, L., Orsina, L. Semilinear elliptic equations with singular nonlinearities. Calc. Var. 37, 363–380 (2010). https://doi.org/10.1007/s00526-009-0266-x
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DOI: https://doi.org/10.1007/s00526-009-0266-x