Comparison principle for unbounded viscosity solutions of degenerate elliptic PDEs with gradient superlinear terms

Shigeaki Koike, Olivier Ley

研究成果: Article査読

8 被引用数 (Scopus)

抄録

We are concerned with fully nonlinear possibly degenerate elliptic partial differential equations (PDEs) with superlinear terms with respect to Du. We prove several comparison principles among viscosity solutions which may be unbounded under some polynomial-type growth conditions. Our main result applies to PDEs with convex superlinear terms but we also obtain some results in nonconvex cases. Applications to monotone systems of PDEs are given.

本文言語English
ページ(範囲)110-120
ページ数11
ジャーナルJournal of Mathematical Analysis and Applications
381
1
DOI
出版ステータスPublished - 2011 9月 1

ASJC Scopus subject areas

  • 分析
  • 応用数学

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