Computation of the difference of topology at infinity for Yamabe-type problems on annuli-domains. I, II

DOI10.1215/S0012-7094-98-09411-XzbMath0966.35043OpenAlexW1493468989MaRDI QIDQ1974846

Mohameden Ould Ahmedou, Khalil O. El Mehdi

Publication date: 27 March 2000

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-98-09411-x

zbMATH Keywords

expanding annulipositive critical pointsdouble blow-upthin annuli-domains

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear boundary value problems for linear elliptic equations (35J65) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

Related Items (7)

Critical points at infinity in a fourth order elliptic problem with limiting exponent ⋮ Note on an inequality ⋮ The difference of topology at infinity in changing-sign Yamabe problems on ?3 (the case of two masses) ⋮ A Morse lemma at infinity for Yamabe type problems on domains. ⋮ The topological contribution of the critical points at infinity for critical fractional Yamabe-type equations ⋮ A nonexistence result for Yamabe type problems on thin annuli ⋮ On an elliptic problem with critical nonlinearity in expanding annuli

Cites Work

• Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
• Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire
• Best constant in Sobolev inequality
• Problèmes isoperimetriques et espaces de Sobolev
• On a variational problem with lack of compactness: The topological effect of the critical points at infinity
• Elliptic Partial Differential Equations of Second Order
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