Asymptotic analysis for surfaces with large constant mean curvature and free boundaries

Laurain, Paul

doi:10.1016/j.anihpc.2011.09.004

Laurain, Paul

Annales de l'Institut Henri Poincaré. C, Analyse non linéaire, Tome 29 (2012) no. 1, pp. 109-129

Résumé

We prove that simply connected H-surfaces with bounded area and free boundary in a domain necessarily concentrate at a critical point of the mean curvature of the boundary of this domain.

Zbl

DOI : 10.1016/j.anihpc.2011.09.004

@article{AIHPC_2012__29_1_109_0,
     author = {Laurain, Paul},
     title = {Asymptotic analysis for surfaces with large constant mean curvature and free boundaries},
     journal = {Annales de l'Institut Henri Poincar\'e. C, Analyse non lin\'eaire},
     pages = {109--129},
     year = {2012},
     publisher = {Elsevier},
     volume = {29},
     number = {1},
     doi = {10.1016/j.anihpc.2011.09.004},
     zbl = {1242.53009},
     language = {en},
     url = {https://www.numdam.org/articles/10.1016/j.anihpc.2011.09.004/}
}

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Laurain, Paul. Asymptotic analysis for surfaces with large constant mean curvature and free boundaries. Annales de l'Institut Henri Poincaré. C, Analyse non linéaire, Tome 29 (2012) no. 1, pp. 109-129. doi: 10.1016/j.anihpc.2011.09.004

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