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Abstract
A generalized maximum principle is established for subsolutions inΩa bounded domian inof the extremal equations
where [ILM0003is the Pucci extremal operator depending on positive parameters
and
can be unbounded. More precisely, it is shown that if u is a subsolution of the above extremal equations, then for some
where C and q depend on
. The proof here runs through a sublinear functional representation without employing classical linear theory. The result is a generalization of the Fabes—Stroock result to fully nonlinear equations.
†Supported in part by National Science Foundation Grant DMS93–02995.
†Supported in part by National Science Foundation Grant DMS93–02995.
Notes
†Supported in part by National Science Foundation Grant DMS93–02995.
