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Some General Concepts of Sub- and Supersolutions for Nonlinear Elliptic Problems

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Abstract

We propose general and unified concepts of sub- supersolutions for boundary value problems that encompass several types of boundary conditions for nonlinear elliptic equations and variational inequalities. Various, by now classical, sub- and supersolution existence and comparison results are covered by the general theory presented here.

Original languageAmerican English
JournalTopological Methods in Nonlinear Analysis
StatePublished - Jan 1 2006

Keywords

  • Boundary Value Problems
  • Sub- Supersolutions

Disciplines

  • Mathematics
  • Statistics and Probability

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