Projects per year
Abstract
We study the existence of sign changing solutions to the following problem {Δu+|u|p−1u=0inΩε;u=0on∂Ωε, where [Formula presented] is the critical Sobolev exponent and Ωε is a bounded smooth domain in Rn, n≥3, of the form Ωε=Ω\B(0,ε). Here Ω is a smooth bounded domain containing the origin 0 and B(0,ε) denotes the ball centered at the origin with radius ε>0. We construct a new type of sign-changing solutions with high energy to problem (0.1), when the parameter ε is small enough.
Original language | English |
---|---|
Pages (from-to) | 916-962 |
Number of pages | 47 |
Journal | Journal of Differential Equations |
Volume | 271 |
Early online date | 24 Sept 2020 |
DOIs | |
Publication status | Published - 15 Jan 2021 |
Keywords
- Concentration phenomenon of solutions
- Coron's problem
- Critical Sobolev exponent
- Sign-changing solutions
ASJC Scopus subject areas
- Analysis
- Applied Mathematics
Fingerprint
Dive into the research topics of 'High energy sign-changing solutions for Coron's problem'. Together they form a unique fingerprint.Projects
- 1 Active
-
Concentration phenomena in nonlinear analysis
Engineering and Physical Sciences Research Council
27/04/20 → 31/03/24
Project: Research council