Suo Hong-Min and Lei Chun-Yu and Liao Jia-Feng: New multiple positive solutions for elliptic equations with singularity and critical growth. (2019)
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Abstract
In this note, the existence of multiple positive solutions is established for a semilinear elliptic equation −∆u = λ u γ + u 2 ∗−1 , x ∈ Ω, u = 0, x ∈ ∂Ω, where Ω is a smooth bounded domain in RN (N ≥ 3), 2∗ = 2N N−2 , γ ∈ (0, 1) and λ > 0 is a real parameter. We show by the variational methods and perturbation functional that the problem has at least two positive solutions w0(x) and w1(x) with w0(x) < w1(x) in Ω.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2019 |
| Number: | 20 |
| ISSN: | 1417-3875 |
| Page Range: | pp. 1-14 |
| DOI: | 10.14232/ejqtde.2019.1.20 |
| Uncontrolled Keywords: | Differenciálegyenlet - elliptikus |
| Additional Information: | Bibliogr.: p. 12-14. ; összefoglalás angol nyelven |
| Date Deposited: | 2019. May. 31. 05:37 |
| Last Modified: | 2021. Sep. 16. 10:42 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/58097 |
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