“ Bubble-tower ” Radial Solutions in the Slightly Supercritical Brezis-nirenberg Problem

@inproceedings{Pino2007B,
  title={“ Bubble-tower ” Radial Solutions in the Slightly Supercritical Brezis-nirenberg Problem},
  author={Manuel M S{\'a}nchez Del Pino and Jean Dolbeault and Monica Musso},
  year={2007}
}
In this paper, we consider the Brezis-Nirenberg problem in dimension N ≥ 4, in the supercritical case. We prove that if the exponent gets close to N+2 N−2 and if, simultaneously, the bifurcation parameter tends to zero at the appropriate rate, then there are radial solutions which behave like a superposition of bubbles, namely solutions of the form 

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References

Publications referenced by this paper.
Showing 1-10 of 20 references

Positive solutions of elliptic equations involving supercritical growth

F. Merle, L. A. Peletier
Proc. Roy. Soc. Edinburgh Sect. A 118 no. 1-2 • 1991
View 6 Excerpts
Highly Influenced

Asymptotics for elliptic equations involving critical growth

H. Brezis, L. A. Peletier
Partial differential equations and the calculus of variations, Vol. I, 149–192, Progr. Nonlinear Differential Equations Appl., 1, Birkhauser Boston • 1989
View 5 Excerpts
Highly Influenced

Nonspreading wave packets for the cubic Schrodinger equation with a bounded potential

A. Floer, A. Weinstein
J. Funct. Anal. 69 no. 3 • 1986
View 3 Excerpts
Highly Influenced

Symmetry and related properties via the Maximum Principle

B. Gidas, W. M. Ni, L. Nirenberg
Commun. Math. Phys. 68 • 1979
View 6 Excerpts
Highly Influenced

Two - bubble solutions in the supercritical Bahri - Coron problem

P. Felmer del Pino, M. Musso
Calc . Var . Partial Differential Equations • 2003

Two-bubble solutions in the super-critical Bahri- Coron problem, Calc

M. del Pino, P. Felmer, M. Musso
Var. Partial Differential Equations 16 no • 2003
View 1 Excerpt

Multi-peak solution for super-critical elliptic problems in domains with small holes

M. del Pino, P. Felmer, M. Musso
J. Differential Equations 182 no • 2002
View 1 Excerpt

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