English

The precise boundary trace of solutions of a class of supercritical nonlinear equations

Analysis of PDEs 2008-12-18 v1

Abstract

We construct and study the properties of the precise boundary trace of positive solutions of Δu+uq=0-\Delta u+u^q=0 in a smooth bounded domain of RN\mathbb R^N, in the supercritical case qqc=(N+1)/(N1)q\geq q_c=(N+1)/(N-1)

Keywords

Cite

@article{arxiv.0805.3790,
  title  = {The precise boundary trace of solutions of a class of supercritical nonlinear equations},
  author = {Moshe Marcus and Laurent Veron},
  journal= {arXiv preprint arXiv:0805.3790},
  year   = {2008}
}