Existence of solutions for sublinear equations on exterior domains
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Date
2017-10-10
Authors
Iaia, Joseph
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article we prove the existence of an infinite number of radial solutions of ∆u + K(r)ƒ(u) = 0, one with exactly n zeros for each nonnegative integer n on the exterior of the ball of radius R > 0, BR, centered at the origin in ℝN with u = 0 on ∂BR and lim r→∞ u(r) = 0 where N > 2, ƒ is odd with ƒ < 0 on (0, β), ƒ > 0 on (β, ∞), ƒ(u) ~ up with 0 < p < 1 for large u and K(r) ~ r-α with 0 < α < 2 for large r.
Description
Keywords
Exterior domains, Semilinear, Sublinear, Radial
Citation
Iaia, J. A. (2017). Existence of solutions for sublinear equations on exterior domains. <i>Electronic Journal of Differential Equations, 2017</i>(253), pp. 1-14.