New multiple positive solutions for elliptic equations with singularity and critical growth

Suo, Hong-Min and Lei, Chun-Yu and Liao, Jia-Feng: New multiple positive solutions for elliptic equations with singularity and critical growth. Electronic journal of qualitative theory of differential equations 20. pp. 1-14. (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: Article
Journal or Publication Title: Electronic journal of qualitative theory of differential equations
Date: 2019
Number: 20
Page Range: pp. 1-14
ISSN: 1417-3875
DOI: https://doi.org/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: 2019. May. 31. 05:37
URI: http://acta.bibl.u-szeged.hu/id/eprint/58097

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