On conformal invariants for elliptic systems with multiple critical exponents |
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Authors: | Youri V Egorov Yavdat Il’yasov |
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Institution: | (1) Université Paul Sabatier, 118, route de Narbonne, 31400 Toulouse, France;(2) Bashkir State University, Ufa, Russia |
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Abstract: | In this article we study multiple solutions of the prescribed curvatures problem for a compact Riemannian manifold with smooth
boundary and with indefinite signs of the energy function and nonlinearities. We generalize the conception of the critical
Palais–Smale level and find new type of conformally invariant necessary and sufficient conditions for existence of multiple
solutions of the problem.
The second author was supported in part by grants INTAS 03-51-5007, RFBR 05-01-00370, 05-01-00515. |
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Keywords: | Riemannian mainfold with boundary Yamabe problem Conformal invariant Palais– Smale condition |
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