Sign‐changing solutions for a nonhomogeneous Paneitz‐type problem

Salomón Alarcón and Nicolás Varela

Mathematische Nachrichten, 2020, vol. 293, issue 4, 618-637

Abstract: We consider the problem Pε Δ2u=|u|8N−4u+εf(x)inΩ,u=Δu=0on∂Ω,where Ω is a bounded smooth domain in RN, N≥5, that exhibits certain symmetries and contains the origin, f∈L∞(Ω), f≥0, f≢0, and ε>0 is a small parameter. By using the Lyapunov–Schmidt reduction method and topological degree theory, for each sufficiently large k∈N, we construct sign‐changing solutions to (Pε) exhibiting k negative spikes at the vertices of a regular polygon and a single positive spike at the origin.

Date: 2020
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1002/mana.201800186

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:bla:mathna:v:293:y:2020:i:4:p:618-637

Ordering information: This journal article can be ordered from
http://www.blackwell ... bs.asp?ref=0025-584X

Access Statistics for this article

Mathematische Nachrichten is currently edited by Robert Denk

More articles in Mathematische Nachrichten from Wiley Blackwell
Bibliographic data for series maintained by Wiley Content Delivery ().