Energy estimates for a class of semilinear elliptic equations on half Euclidean balls
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classequationsestimatescurvatureellipticenergyballsblowup
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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.
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