Revista Matemática Iberoamericana
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Published online: 2015-12-23
Energy estimates for a class of semilinear elliptic equations on half Euclidean ballsYing Guo and Lei Zhang (1) University of Florida, Gainesville, USA
(2) University of Florida, Gainesville, USA
For a class of semi-linear elliptic equations with critical Sobolev exponents and boundary conditions, we prove pointwise 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.
Keywords: Semi-linear, Harnack inequality, blowup solutions, mean curvature, scalar curvature, Yamabe type equations, energy estimate
Guo Ying, Zhang Lei: Energy estimates for a class of semilinear elliptic equations on half Euclidean balls. Rev. Mat. Iberoam. 31 (2015), 1141-1166. doi: 10.4171/RMI/865