Electron. J. Differential Equations

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

Abstract:
In this article we study radial solutions of

Δ u + K (| x |) f (u) = 0

in the exterior of the ball of radius

R > 0

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

	Joseph A. Iaia Department of Mathematics University of North Texas Denton, TX 76203-5017, USA email: iaia@unt.edu

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

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