On the Sharp Stability of Critical Points of the Sobolev Inequality

Author:

Figalli AlessioORCID,Glaudo Federico

Funder

H2020 European Research Council

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mathematics (miscellaneous),Analysis

Reference30 articles.

1. Alexandrov, A.D.: A characteristic property of spheres. Ann. Mat. Pura Appl. 58(1), 303–315, 1962

2. Allegretto, W.: Principal eigenvalues for indefinite-weight elliptic problems in $${\mathbb{R}}^n$$. Proc. Am. Math. Soc. 116(3), 701–706, 1992

3. Aubin, T.: Problemes isopérimétriques et espaces de Sobolev. J. Differ. Geom. 11(4), 573–598, 1976

4. Bahri, A.: Critical Points at Infinity in Some Variational Problems, vol. 182. Longman Scientific and Technical, London 1989

5. Bahri, A., Coron, J.-M.: On a nonlinear elliptic equation involving the critical Sobolev exponent: the effect of the topology of the domain. Commun. Pure Appl. Math. 41(3), 253–294, 1988

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