Scalar curvatures on $S^ 2$
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- by Wen Xiong Chen and Wei Yue Ding PDF
- Trans. Amer. Math. Soc. 303 (1987), 365-382 Request permission
Abstract:
A theorem for the existence of solutions of the nonlinear elliptic equation $- \Delta u + 2 = R(x){e^u},\;x \in {S^2}$, is proved by using a "mass center" analysis technique and by applying a continuous "flow" in ${H^1}({S^2})$ controlled by $\nabla R$.References
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Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 303 (1987), 365-382
- MSC: Primary 35J60; Secondary 49A40, 53C20, 58G30
- DOI: https://doi.org/10.1090/S0002-9947-1987-0896027-4
- MathSciNet review: 896027