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

Barbara Brandolini; Barbara Brandolini

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

Matematica e Informatica

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Abstract

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.

Original language	English
Pages (from-to)	455-468
Number of pages	14
Journal	NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS
Volume	10
Publication status	Published - 2003

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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title = "Comparison results for Monge-Amp{\`e}re type equations with lower order terms",

abstract = "In this paper we deal with Monge-Amp{\`e}re 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.",

author = "Barbara Brandolini and Barbara Brandolini",

year = "2003",

language = "English",

volume = "10",

pages = "455--468",

journal = "Nonlinear Differential Equations and Applications",

issn = "1021-9722",

publisher = "Birkhauser Verlag Basel",

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T1 - Comparison results for Monge-Ampère type equations with lower order terms

AU - Brandolini, Barbara

PY - 2003

Y1 - 2003

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10447/494153

M3 - Article

SN - 1021-9722

VL - 10

SP - 455

EP - 468

JO - Nonlinear Differential Equations and Applications

JF - Nonlinear Differential Equations and Applications

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

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