Conformal metrics on the ball with zero scalar curvature and prescribed mean curvature on the boundary

By José F. Escobar, G. García. 2004

51 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/65fd88c6361ba409aa016146dacef05e1c8f22fd

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Yanyan Li
2. Tianling Jin
3. Jingang Xiong
4. A. Malchiodi
5. Lei Zhang
6. S. Almaraz
7. Z. Djadli
8. M. Ahmedou

In Computational Theory and Mathematics

1. Yanyan Li
2. Jingang Xiong
3. Tianling Jin
4. Lei Zhang
5. A. Malchiodi
6. S. Almaraz
7. M. Ahmedou
8. Z. Djadli

Citations in the corpus

• Conformal deformations to scalar-flat metrics with constant mean curvature on the boundary (2007, unknown): “Other works concerning conformal deformation on manifolds with boundary include [1], [4], [5], [8], [9], [11], [12], [13], [14] and [15].”
• On a fractional Nirenberg problem, part I: blow up analysis and compactness of solutions (2011, background): “, [31, 45, 47, 48], where the equations are without weights, and thus elliptic.”
• The Nirenberg problem and its generalizations: a unified approach (2014, unknown): “One may see the work of, among many others, Escobar [47], Chang-Xu-Yang [28], Escobar-Garcia [48], Han-Li [63], Djadli-Malchiodi-Ahmedou [45] for σ = 1/2; Jin-Li-Xiong [73, 74], ChenLiu-Zheng [34], Fang [52], Abdelhedi-Chtioui-Hajaiej [1] for σ ∈ (0, 1); Wei-Xu [102, 103], Brendle [14], Chen-Xu [39]”
• The prescribed boundary mean curvature problem on B4 (2004, background): “In [ 15 ] Escobar and Garcia studied problem (3) for n ¼ 3 in the nonperturbative case, proving that blow ups of solutions (of subcritical approximations) occur at one point and also obtained compactness and existence results.”
• An existence theorem of conformal scalar-flat metrics on manifolds with boundary (2009, background): “Other works concerning conformal deformation on manifolds with boundary include [Ahmedou 2003; Ambrosetti et al. 2002; Ben Ayed et al. 2005; Brendle 2002; Djadli et al. 2003; 2004; Escobar 1992b; 1996a; Escobar and Garcia 2004; Felli and Ould Ahmedou 2003; 2005; Han and Li 1999; 2000] We will now di”
• Compactness of solutions to the Yamabe problem (2004, methodology): “For the Nirenberg problem and the Yamabe problem on manifolds with boundary, which are related to the Yamabe problem, compactness of solutions has been studied by Schoen ([81]), Schoen and Zhang ([84]), Chang, Gursky and Yang ([32]), Li ([66]) and [67]), Han and Li ([57]), Chen and Lin ([35]), Felli”