Electron. J. Differential Equations, Vol. 2024 (2024), No. 06, pp. 1-14.

Existence of two infinite families of solutions for singular superlinear equations on exterior domains

Joseph Iaia

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 Submitted July 13, 2023. Published January 23, 2024.
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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