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The Lin-Ni's problem for mean convex domains

Author: Olivier Druet; Frédéric Robert; Juncheng Wei
Publisher: Providence, R.I. : American Mathematical Society, ©2011.
Series: Memoirs of the American Mathematical Society, no. 1027.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:

The authors prove some refined asymptotic estimates for positive blow-up solutions to $\Delta u+\epsilon u=n(n-2)u^{\frac{n+2}{n-2}}$ on $\Omega$, $\partial_\nu u=0$ on $\partial\Omega$, $\Omega$  Read more...

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Genre/Form: Electronic books
Additional Physical Format: Print version:
Druet, Olivier, 1976-
Lin-Ni's problem for mean convex domains
(DLC) 2012007214
(OCoLC)782127444
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Olivier Druet; Frédéric Robert; Juncheng Wei
ISBN: 9780821890165 0821890166
OCLC Number: 893974052
Notes: "July 2012, volume 218, number 1027 (end of volume)."
Description: 1 online resource (v, 105 pages) : illustrations.
Contents: Introduction Chapter 1. $L$-bounded solutions Chapter 2. Smooth domains and extensions of solutions to elliptic equations Chapter 3. Exhaustion of the concentration points Chapter 4. A first upper-estimate Chapter 5. A sharp upper-estimate Chapter 6. Asymptotic estimates in $C^1(\Omega)$ Chapter 7. Convergence to singular harmonic functions Chapter 8. Estimates of the interior blow-up rates Chapter 9. Estimates of the boundary blow-up rates Chapter 10. Proof of Theorems 1 and 2 Appendix A. Construction and estimates on the Green's function Appendix B. Projection of the test functions.
Series Title: Memoirs of the American Mathematical Society, no. 1027.
Responsibility: Olivier Druet, Frédéric Robert, Juncheng Wei.

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