Chapter Two

The Model Equations

1114115239

Equations like 411524211 arise naturally in several problems. This is the case for the Yamabe problem (see Schoen [66]) but also for sharp constant problems in Sobolev inequalities. Possible survey articles on the Yamabe problem are Hebey [42], Lee and Parker [54], and Schoen [69]. Possible monographs on sharp constants problems are Druet and Hebey [29], and Hebey [44]. We refer also to Druet [27], Hebey [45], Hebey and Vaugon [49], and Schoen [67, 70] for extensions of these problems where understanding equations like

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