Local maximum principle for Lp-viscosity solutions of fully nonlinear elliptic pdes with unbounded coefficients

Shigeaki Koike, Andrzej Świȩch

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

We establish local maximum principle for Lp-viscosity solutions of fully nonlinear elliptic partial differential equations with unbounded ingredients.

Original languageEnglish
Pages (from-to)1897-1910
Number of pages14
JournalCommunications on Pure and Applied Analysis
Volume11
Issue number5
DOIs
Publication statusPublished - 2012 Sep 1
Externally publishedYes

Fingerprint

Unbounded Coefficients
Elliptic PDE
Maximum principle
Fully Nonlinear
Elliptic Partial Differential Equations
Viscosity Solutions
Maximum Principle
Nonlinear Partial Differential Equations
Partial differential equations
Viscosity

Keywords

  • Fully nonlinear elliptic PDE
  • Local maximum principle
  • Viscosity solutions

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Local maximum principle for Lp-viscosity solutions of fully nonlinear elliptic pdes with unbounded coefficients. / Koike, Shigeaki; Świȩch, Andrzej.

In: Communications on Pure and Applied Analysis, Vol. 11, No. 5, 01.09.2012, p. 1897-1910.

Research output: Contribution to journalArticle

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