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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2014 Volume 96, Issue 3, Pages 405–417 (Mi mzm9755)

This article is cited in 3 papers

Monotonicity Conditions for a Class of Quasilinear Differential Operators Depending on Parameters

G. I. Laptev

Russian State Social University, Moscow

Abstract: A special class of quasilinear differential operators depending on a finite number of parameters is introduced and necessary and sufficient monotonicity conditions for such operators are found.

Keywords: quasilinear differential operator, monotonicity conditions for a differential operator, Lebesgue space, Lipschitz boundary, conditional extremum problem.

UDC: 517.9

Received: 20.06.2012
Revised: 20.04.2014

DOI: 10.4213/mzm9755


 English version:
Mathematical Notes, 2014, 96:3, 379–390

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