Semilinear Elliptic Equations and Fixed Points

Cleon S. Barroso

Semilinear Elliptic Equations and Fixed Points

偏微分方程分析 2007-05-23 v1

作者: Cleon S. Barroso

摘要

In this paper, we deal with a class of semilinear elliptic equation in a bounded domain $\Omega\subset\mathbb{R}^N$ , $N\geq 3$ , with $C\sp{1,1}$ boundary. Using a new fixed point result of the Krasnoselskii's type for the sum of two operators, an existence principle of strong solutions is proved. We give two examples where the nonlinearity can be critical.

关键词

elliptic partial differential equations positive solutions of elliptic equations semilinear elliptic equations

引用

@article{arxiv.math/0310477,
  title  = {Semilinear Elliptic Equations and Fixed Points},
  author = {Cleon S. Barroso},
  journal= {arXiv preprint arXiv:math/0310477},
  year   = {2007}
}

备注

4 pages

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