The scalar curvature problem on S^n: an approach via Morse theory |
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| Authors: | Andrea Malchiodi |
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| Institution: | (1) Rutgers University, Department of Mathematics, Hill Center, Busch Campus, Frelinghuysen Road, 08854-8019 Piscataway, NJ, USA , US |
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| Abstract: | We prove the existence of positive solutions for the equation on , where is the Laplace-Beltrami operator on is the critical Sobolev exponent, and is a small parameter. The problem can be reduced to a finite dimensional study which is performed via Morse theory.
Received: 29 September 1999 / Accepted: 11 May 2001 / Published online: 19 October 2001 |
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