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.2024.06Show me the PDF file (349 KB), TEX file for this article.

Joseph A. Iaia

Department of Mathematics

University of North Texas

Denton, TX 76203-5017, USA

email: iaia@unt.eduReturn to the EJDE web page