Search results for "fully nonlinear elliptic equations"

showing 2 items of 2 documents

Comparison results for Monge - Ampère type equations with lower order terms

2003

In this paper we deal with Monge-Ampère type equations in two dimensions and, using the symmetrization with respect to the perimeter, we prove some comparison results for solutions of such equations involving the solutions of conveniently symmetrized problems.

RearrangementsMathematics::Complex VariablesIndependent equationApplied MathematicsMathematical analysisMathematics::Analysis of PDEsComparison resultsSymmetrizationLower orderType (model theory)Monge-Ampère equationsPerimeterSettore MAT/05 - Analisi MatematicaSimultaneous equationsFully nonlinear elliptic equationsSymmetrizationAmpereAnalysisMathematics
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Existence of viscosity solutions to two-phase problems for fully nonlinear equations with distributed sources

2018

In this paper we construct a viscosity solution of a two-phase free boundary problem for a class of fully nonlinear equation with distributed sources, via an adaptation of the Perron method. Our results extend those in [Caffarelli, 1988], [Wang, 2003] for the homogeneous case, and of [De Silva, Ferrari, Salsa, 2015] for divergence form operators with right hand side.

Class (set theory)lcsh:T57-57.97Applied MathematicsPhase (waves)Perron methodfully nonlinear elliptic equationsPerron method| two-phase free boundary problems| fully nonlinear elliptic equationstwo-phase free boundary problemsNonlinear systemSettore MAT/05 - Analisi MatematicaViscosity (programming)lcsh:Applied mathematics. Quantitative methodsFree boundary problemApplied mathematicsViscosity solutionDivergence (statistics)Perron methodMathematical PhysicsAnalysisMathematicsMathematics in Engineering
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