Geodesic
An Upper Bound for the Least Energy of a Nodal Solution to the Yamabe Equation on the Sphere
Minimax theory and its applications, Tome 7 (2022) no. 2
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For each n ≥ 3 we establish the existence of a nodal solution u to the Yamabe problem on the round sphere (Sn,g) which satisfies |u|2∗dVg < 2mnvol(Sn), Sn where m3 = 9, m4 =7, m5 =m6 =6, and mn =5 if n≥7.
Mots-clés : Yamabe equation, nodal solutions, energy bounds 
@article{MTA_2022_7_2_a0,
     author = {M\'onica Clapp,Angela Pistoia,Tobias Weth},
     title = {An {Upper} {Bound} for the {Least} {Energy} of a {Nodal} {Solution} to the {Yamabe} {Equation} on the {Sphere}},
     journal = {Minimax theory and its applications},
     year = {2022},
     volume = {7},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/MTA_2022_7_2_a0/}
}
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Mónica Clapp,Angela Pistoia,Tobias Weth. An Upper Bound for the Least Energy of a Nodal Solution to the Yamabe Equation on the Sphere. Minimax theory and its applications, Tome 7 (2022) no. 2. http://geodesic.mathdoc.fr/item/MTA_2022_7_2_a0/