Maximal and minimal solutions to a class of elliptic quasilinear problems

Troianiello, Giovanni M.

doi:10.1090/S0002-9939-1984-0735572-1

Maximal and minimal solutions to a class of elliptic quasilinear problems
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Proc. Amer. Math. Soc. 91 (1984), 95-101 Request permission

Abstract:

We prove existence of maximal and minimal solutions to bilateral problems for quasilinear elliptic operators with nondivergence principal part independent of the gradient. This result also covers the case of equations, when the obstacles can be taken as lower and upper solutions.

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