An A Priori Estimate for a Model Semi-Elliptic Differential Operator
نویسندگان
چکیده
منابع مشابه
A priori estimate for a family of semi-linear elliptic equations with critical nonlinearity
We consider positive solutions of ∆u − μu + Ku n+2 n−2 = 0 on B1 (n ≥ 5) where μ and K > 0 are smooth functions on B1. If K is very sub-harmonic at each critical point of K in B2/3 and the maximum of u in B̄1/3 is comparable to its maximum over B̄1, then all positive solutions are uniformly bounded on B̄1/3. As an application, a priori estimate for solutions of equations defined on Sn is derived. ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2002
ISSN: 0022-247X
DOI: 10.1006/jmaa.2000.6875