Implicit elliptic differential equations

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1994 Italy English Publisher:Springer Science and Business Media LLCJournal:Set-Valued Analysis, volume 2, pages 545-558 (issn: 0927-6947, eissn: 1572-932X,

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Authors: MARANO, Salvatore Angelo;

doi: 10.1007/bf01033071

handle: 20.500.11769/300825

Implicit elliptic differential equations

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Abstract

The author studies the implicit differential equation \(f(x,u,Du,Lu) = 0\), where \(x \in \Omega \subset \mathbb{R}^ n\), \(u \in \mathbb{R}^ m\), \(Du = (Du_ 1, \dots, Du_ m)\), \(Lu = (Lu_ 1, \dots, Lu_ m)\), and \(f\): \(\Omega \times \mathbb{R}^ m \times \mathbb{R}^{mn} \times \mathbb{R}^ m \to \mathbb{R}\) is given.

Country

Italy

Related Organizations

University of Catania
Italy

Keywords

PDEs with multivalued right-hand sides, Elliptic equations and elliptic systems, implicit elliptic equations, elliptic differential inclusions, strong solutions

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