Some general concepts of sub- and supersolutions for nonlinear elliptic problems

Vy Khoi Le, Klaus Schmitt

DOI: http://dx.doi.org/10.12775/TMNA.2006.021

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.

Keywords


Sub- and supersolutions; general boundary conditions; variational inequalities

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