An Upper Bound for the Least Energy of a Nodal Solution to the Yamabe Equation on the Sphere

Authors

  • Mónica Clapp,Angela Pistoia,Tobias Weth Author

Keywords:

Yamabe equation, nodal solutions, energy bounds.

Abstract

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.

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Published

2022-01-01

Issue

Vol. 7 No. 2 (2022): volume 7 issue 2 (2022)

Section

Articles

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How to Cite

An Upper Bound for the Least Energy of a Nodal Solution to the Yamabe Equation on the Sphere. (2022). Minimax Theory and Its Applications, 7(2), 173–184. https://journalmta.com/index.php/jmta/article/view/163