Abstract
In this chapter we provide existence results for nonnegative solutions of the Yamabe-type equation
on the complete, noncompact, manifold M. Existence is obtained by various versions of the monotone iteration scheme (see the appendix at the end of the chapter) and we consequently concentrate on the construction of (global and local) superand subsolutions for the problem.
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© 2012 Springer Basel
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Mastrolia, P., Rigoli, M., Setti, A.G. (2012). Existence. In: Yamabe-type Equations on Complete, Noncompact Manifolds. Progress in Mathematics, vol 302. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0376-2_6
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DOI: https://doi.org/10.1007/978-3-0348-0376-2_6
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Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-0375-5
Online ISBN: 978-3-0348-0376-2
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