Uniqueness of {\sigma}-regular solutions of quasilinear elliptic problems

Lorenzo D'Ambrosio; Enzo Mitidieri

Uniqueness of {\sigma}-regular solutions of quasilinear elliptic problems

Analysis of PDEs 2012-11-06 v1

Authors: Lorenzo D'Ambrosio , Enzo Mitidieri

Abstract

We study the uniqueness problem of $\sigma$ -regular solution of the equation, $-\Delta_p u+ \abs u^{q-1}u =h \quad on\quad \RN,$ where $q>p-1>0.$ and $N> p.$ Other coercive type equations associated to more general differential operators are also investigated. Our uniqueness results hold for equations associated to the mean curvature type operators as well as for more general quasilinear subelliptic operators.

Keywords

quasilinear elliptic equations uniqueness sigma-regular solutions p-Laplacian mean curvature operator subelliptic operators coercive equations

Cite

@article{arxiv.1211.0623,
  title  = {Uniqueness of {\sigma}-regular solutions of quasilinear elliptic problems},
  author = {Lorenzo D'Ambrosio and Enzo Mitidieri},
  journal= {arXiv preprint arXiv:1211.0623},
  year   = {2012}
}

Comments

28 pages. arXiv admin note: text overlap with arXiv:1209.1901

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