Topological Methods for Boundary Mean Curvature Problem on Bn
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Publication:2923147
DOI10.1515/ans-2014-0212zbMath1408.53012OpenAlexW2509424621MaRDI QIDQ2923147
Mohammed Ali Alghamdi, Khadijah Sharaf, Hichem Chtioui
Publication date: 15 October 2014
Published in: Advanced Nonlinear Studies (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/ans-2014-0212
Asymptotic behavior of solutions to PDEs (35B40) 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) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Related Items
Conformal flat metrics with prescribed mean curvature on the boundary, On the boundary mean curvature equation on \(\mathbb{B}^{n}\)
Cites Work
- Unnamed Item
- The scalar-curvature problem on the standard three-dimensional sphere
- Problèmes de Neumann non linéaires sur les variétés riemanniennes
- Conformal deformation of a Riemannian metric to a scalar flat metric with constant mean curvature on the boundary
- Algebraic topology methods for the prescribed scalar curvature problem
- A perturbation result for prescribing mean curvature
- A topological hypothesis for the prescribed scalar curvature problem
- An invariant for Yamabe-type flows with applications to scalar-curvature problems in high dimension
- A Morse theoretical approach for the boundary mean curvature problem on \(\mathbb B^4\)
- On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain