Degenerate Conformally Invariant Fully Nonlinear Elliptic Equations
نویسندگان
چکیده
منابع مشابه
Degenerate Conformally Invariant Fully Nonlinear Elliptic Equations
There has been much work on conformally invariant fully nonlinear elliptic equations and applications to geometry and topology. See for instance [17], [5], [4], [10], [14], [9], and the references therein. An important issue in the study of such equations is to classify entire solutions which arise from rescaling blowing up solutions. Liouville type theorems for general conformally invariant fu...
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1 Introduction There has been much work on conformally invariant fully nonlinear elliptic equations and applications to geometry and topology. [10], and the references therein. In this and a companion paper [16] we address some analytical issues concerning these equations. For n ≥ 3, consider −∆u = n − 2 2 u n+2 n−2 , on R n .
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We will report some results concerning the Yamabe problem and the Nirenberg problem. Related topics will also be discussed. Such studies have led to new results on some conformally invariant fully nonlinear equations arising from geometry. We will also present these results which include some Liouville type theorems, Harnack type inequalities, existence and compactness of solutions to some nonl...
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ژورنال
عنوان ژورنال: Archive for Rational Mechanics and Analysis
سال: 2007
ISSN: 0003-9527,1432-0673
DOI: 10.1007/s00205-006-0041-5