Maximum principle and existence of Lp-viscosity solutions for fully nonlinear uniformly elliptic equations with measurable and quadratic terms

Shigeaki Koike*, Andrzej Świȩch

*この研究の対応する著者

研究成果: Article査読

19 被引用数 (Scopus)

抄録

We study Lp-viscosity solutions of fully nonlinear, second-order, uniformly elliptic partial differential equations (PDE) with measurable terms and quadratic nonlinearity. We present a sufficient condition under which the maximum principle holds for Lp-viscosity solution. We also prove stability and existence results for the equations under consideration.

本文言語English
ページ(範囲)491-509
ページ数19
ジャーナルNonlinear Differential Equations and Applications
11
4
DOI
出版ステータスPublished - 2004 12月 1
外部発表はい

ASJC Scopus subject areas

  • 分析
  • 応用数学

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