Infinitely many solutions to the Yamabe problem on noncompact manifolds
نویسندگان
چکیده
منابع مشابه
Nonlinear Parabolic Problems on Manifolds, and a Nonexistence Result for the Noncompact Yamabe Problem
We study the Cauchy problem for the semilinear parabolic equations ∆u−Ru+ up − ut = 0 on Mn × (0,∞) with initial value u0 ≥ 0, where Mn is a Riemannian manifold including the ones with nonnegative Ricci curvature. In the Euclidean case and when R = 0, it is well known that 1 + 2 n is the critical exponent, i.e., if p > 1+ 2 n and u0 is smaller than a small Gaussian, then the Cauchy problem has ...
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Aixia Qian1 and Chong Li2 1 School of Mathematic Sciences, Qufu Normal University, Qufu Shandong 273165, China 2 Institute of Mathematics, AMSS, Academia Sinica, Beijing 100080, China Correspondence should be addressed to Aixia Qian, [email protected] and Chong Li, [email protected] Received 29 August 2009; Accepted 7 November 2009 Academic Editor: Wenming Zou Copyright q 2010 A. Qian and C. L...
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ژورنال
عنوان ژورنال: Annales de l’institut Fourier
سال: 2018
ISSN: 0373-0956,1777-5310
DOI: 10.5802/aif.3172