Open AccessEnergy estimates for a class of semilinear elliptic equations on half Euclidean balls
Author(s) -
Ying Guo,
Lei Zhang
Publication year - 2015
Publication title -
revista matemática iberoamericana
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.569
H-Index - 52
eISSN - 2235-0616
pISSN - 0213-2230
DOI - 10.4171/rmi/865
Subject(s) - pointwise , mathematics , sobolev space , curvature , mathematical analysis , scalar curvature , class (philosophy) , euclidean geometry , elliptic curve , boundary (topology) , geometry , artificial intelligence , computer science
For a class of semi-linear elliptic equations with critical Sobolev exponents and boundary conditions, we prove point-wise estimates for blowup solutions and energy estimates. A special case of this class of equations is a locally defined prescribing scalar curvature and mean curvature type equation.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom