The difference of topology at infinity in changing-sign Yamabe problems on ?3 (the case of two masses)

DOI<link itemprop=identifier href="https://doi.org/10.1002/1097-0312(200104)54:4<450::AID-CPA2>3.0.CO;2-Y" /><450::AID-CPA2>3.0.CO;2-Y 10.1002/1097-0312(200104)54:4<450::AID-CPA2>3.0.CO;2-YzbMath1035.53050OpenAlexW2016718763MaRDI QIDQ2710686

Abbas Bahri, Sagun Chanillo

Publication date: 26 April 2001

Full work available at URL: https://doi.org/10.1002/1097-0312(200104)54:4<450::aid-cpa2>3.0.co;2-y

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Regularity of solutions in optimal control (49N60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (7)

Note on an inequality ⋮ Energy bounds for entire nodal solutions of autonomous superlinear equations ⋮ Conjectures and Suggestions for Directions in Pursuing Research in Nonlinear Analysis ⋮ Bubbling phenomena in calculus of variations ⋮ Large energy entire solutions for the Yamabe equation ⋮ Nondegeneracy of nodal solutions to the critical Yamabe problem ⋮ Complex group actions on the sphere and sign changing solutions for the CR-Yamabe equation

Cites Work

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• A global compactness result for elliptic boundary value problems involving limiting nonlinearities
• On a variational problem with lack of compactness: The topological effect of the critical points at infinity
• An invariant for Yamabe-type flows with applications to scalar-curvature problems in high dimension
• Computation of the difference of topology at infinity for Yamabe-type problems on annuli-domains. I, II
• On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain

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