JournalsrmiVol. 31, No. 4pp. 1141–1166

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