We prove the existence of a countable family of Delaunay type domains
Mots clés : Overdetermined elliptic problems, homogeneous manifolds, bifurcation, Laplace–Beltrami operator, Delaunay surfaces
@article{COCV_2016__22_1_1_0, author = {Morabito, Filippo and Sicbaldi, Pieralberto}, title = {Delaunay type domains for an overdetermined elliptic problem in $\mathrm{\mathbb{S}}^n \times{} \mathrm{\mathbb{R}}$ and $\mathbb{H}^{n} \times{} \mathbb{R}$}, journal = {ESAIM: Control, Optimisation and Calculus of Variations}, pages = {1--28}, publisher = {EDP-Sciences}, volume = {22}, number = {1}, year = {2016}, doi = {10.1051/cocv/2014064}, zbl = {1336.58015}, language = {en}, url = {http://www.numdam.org/articles/10.1051/cocv/2014064/} }
TY - JOUR AU - Morabito, Filippo AU - Sicbaldi, Pieralberto TI - Delaunay type domains for an overdetermined elliptic problem in $\mathrm{\mathbb{S}}^n \times{} \mathrm{\mathbb{R}}$ and $\mathbb{H}^{n} \times{} \mathbb{R}$ JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2016 SP - 1 EP - 28 VL - 22 IS - 1 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/cocv/2014064/ DO - 10.1051/cocv/2014064 LA - en ID - COCV_2016__22_1_1_0 ER -
%0 Journal Article %A Morabito, Filippo %A Sicbaldi, Pieralberto %T Delaunay type domains for an overdetermined elliptic problem in $\mathrm{\mathbb{S}}^n \times{} \mathrm{\mathbb{R}}$ and $\mathbb{H}^{n} \times{} \mathbb{R}$ %J ESAIM: Control, Optimisation and Calculus of Variations %D 2016 %P 1-28 %V 22 %N 1 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/cocv/2014064/ %R 10.1051/cocv/2014064 %G en %F COCV_2016__22_1_1_0
Morabito, Filippo; Sicbaldi, Pieralberto. Delaunay type domains for an overdetermined elliptic problem in $\mathrm{\mathbb{S}}^n \times{} \mathrm{\mathbb{R}}$ and $\mathbb{H}^{n} \times{} \mathbb{R}$. ESAIM: Control, Optimisation and Calculus of Variations, Tome 22 (2016) no. 1, pp. 1-28. doi : 10.1051/cocv/2014064. http://www.numdam.org/articles/10.1051/cocv/2014064/
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