Acta mathematica scientia, Series B >
CONCENTRATION OF SOLUTIONS FOR THE MEAN CURVATURE PROBLEM
Received date: 2011-11-14
Online published: 2013-05-20
We consider the problem of conformal metrics equivalent to the Euclidean met-ric, with zero scalar curvature and prescribed mean curvature on the boundary of the ball Bn , n≥4. By variational methods, we prove the existence of two peak solutions that concen-trate around a strict local maximum points of the mean curvature under certain conditions.
Wael ABDELHEDI . CONCENTRATION OF SOLUTIONS FOR THE MEAN CURVATURE PROBLEM[J]. Acta mathematica scientia, Series B, 2013 , 33(3) : 631 -642 . DOI: 10.1016/S0252-9602(13)60026-0
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