Existence of infinitely many solutions for singular semilinear problems on exterior domains
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Date
2019-09-23
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 infinitely many radial solutions of ∆u + K(r)ƒ(u) = 0 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 is superlinear for large u, ƒ(u) ~ -1/(|u|q-1u) with 0 < q < 1 for small u, and 0 < K(r) ≤ K1/rα with N + q(N - 2) < α < 2(N - 1) for large r.
Description
Keywords
Exterior domain, Semilinear, Singular, Superlinear, Radial solution
Citation
Iaia, J. A. (2019). Existence of infinitely many solutions for singular semilinear problems on exterior domains. Electronic Journal of Differential Equations, 2019(108), pp. 1-11.
Rights
Attribution 4.0 International