Year: 2022
Author: Angela Pistoia, Giusi Vaira
Analysis in Theory and Applications, Vol. 38 (2022), Iss. 1 : pp. 1–25
Abstract
We show that the classical Brezis-Nirenberg problem −Δu=u|u|+λu in Ω,u=0 on ∂Ω, when Ω is a bounded domain in R6 has a sign-changing solution which blows-up at a point in Ω as λ approaches a suitable value λ0>0.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.OA-2020-0044
Analysis in Theory and Applications, Vol. 38 (2022), Iss. 1 : pp. 1–25
Published online: 2022-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 25
Keywords: Sign-changing solutions blow-up phenomenon Lyapunov-Schmidt reduction Transversality theorem.
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