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

  • Ying Guo

    University of Florida, Gainesville, USA
  • Lei Zhang

    University of Florida, Gainesville, USA

Abstract

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.

Cite this article

Ying Guo, Lei Zhang, Energy estimates for a class of semilinear elliptic equations on half Euclidean balls. Rev. Mat. Iberoam. 31 (2015), no. 4, pp. 1141–1166

DOI 10.4171/RMI/865