Abstract
Let B be a ball in \({\mathbb{R}^{N}}\), N ≥ 1, let m be a possibly discontinuous and unbounded function that changes sign in B and let 0 < p < 1. We study existence and nonexistence of strictly positive solutions for semilinear elliptic problems of the form \({-\Delta u=m(x) u^{p}}\) in B, u = 0 on ∂B.
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This study was partially supported by Secyt-UNC.
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Godoy, T., Kaufmann, U. On strictly positive solutions for some semilinear elliptic problems. Nonlinear Differ. Equ. Appl. 20, 779–795 (2013). https://doi.org/10.1007/s00030-012-0179-9
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DOI: https://doi.org/10.1007/s00030-012-0179-9