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Zbl 0940.35078
Barles, Guy; Blanc, Alain-Philippe; Georgelin, Christine; Kobylanski, Magdalena
Remarks on the maximum principle for nonlinear elliptic PDEs with quadratic growth conditions. (English)
[J] Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 28, No.3, 381-404 (1999). ISSN 0391-173X

The authors prove a maximum (comparison) principle for second-order nonlinear divergence form elliptic equations with quadratic growth conditions. Recent results of F. Murat and the first author are extended to a more general situation allowing $L^N$-dependence in $x$ instead of $L^\infty.$
[Dian K.Palagachev (Bari)]

MSC 2000:: *35J60 Nonlinear elliptic equations
35B50 Maximum principles (PDE)
35A05 General existence and uniqueness theorems (PDE)

Keywords: nonlinear elliptic PDE; maximum principle; quadratic growth condition

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