In this article we study radial solutions of \(\Delta u + K(|x|) f(u) =0\) in the exterior of the ball of radius \(R>0\) in \(\mathbb {R}^{N}\) with \(N>2\) where \(f\) grows superlinearly at infinity and is singular at \(0\) with \(f(u) \sim \frac{1}{|u|^{q-1}u}\) and \(0
Math Subject Classifications: 34B40, 35B05.
Key Words: Exterior domains; singular; semilinear; radial solution.
DOI: 10.58997/ejde.2024.06
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Joseph A. Iaia Department of Mathematics University of North Texas Denton, TX 76203-5017, USA email: iaia@unt.edu |
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