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 |
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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 |
Funding
The first author has been supported by NSFC No. 11971392, Natural Science Foundation of Chongqing, China cstc2019jcyjjqX0022 and Fundamental Research Funds for the Central Universities XDJK2019TY001. The second author has been supported by EPSRC research Grant EP/T008458/1.
Keywords
- Concentration phenomenon of solutions
- Coron's problem
- Critical Sobolev exponent
- Sign-changing solutions
ASJC Scopus subject areas
- Analysis
- Applied Mathematics
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Dive into the research topics of 'High energy sign-changing solutions for Coron's problem'. Together they form a unique fingerprint.Projects
- 1 Finished
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Concentration phenomena in nonlinear analysis
Musso, M. (PI)
Engineering and Physical Sciences Research Council
27/04/20 → 31/07/24
Project: Research council