Resumen de Energy estimates for a class of semilinear elliptic equations on half Euclidean balls

Ying Guo, Lei Zhang

• 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.