Fading absorption in non-linear elliptic equations

  • Moshe Marcus

    Department of Mathematics, Technion Haifa, Israel
  • Andrey Shishkov

    Institute of Appl. Math. and Mech., NAS of Ukraine, Donetsk, Ukraine


We study the equation , , in where , . Let be a coordinate system such that and denote a point by . Assume that when but as . For this class of equations we obtain sharp necessary and sufficient conditions in order that singularities on the boundary do not propagate in the interior.

A correction to this paper is available.

Cite this article

Moshe Marcus, Andrey Shishkov, Fading absorption in non-linear elliptic equations. Ann. Inst. H. Poincaré Anal. Non Linéaire 30 (2013), no. 2, pp. 315–336

DOI 10.1016/J.ANIHPC.2012.08.002