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A Dirichlet problem in the strip

Name: A Dirichlet problem in the strip
Creator: MONTEFUSCO, Eugenio
Keywords: classical solution, Maximum Principle, Sliding Method, Subsolutions and Supersolutions, Maximum Principle, Nonlinear boundary value problems for linear elliptic equations, sliding method, QA1-939, uniqueness, Sliding Method, Subsolution and Supersolution., monotonicity

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1996 Italy Publisher:Southwest Texas State University, Department of Mathematics, San Marcos, TX; North Texas State University, Department of Mathematics, Denton, TXJournal:Electronic Journal of Differential Equations (issn: 1072-6691,

Authors: MONTEFUSCO, Eugenio;

handle: 11573/128424

A Dirichlet problem in the strip

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Abstract

Summary: We investigate a Dirichlet problem in a strip and, using the sliding method, we prove monotonicity for positive and bounded solutions. We obtain uniqueness of the solution and show that this solution is a function of only one variable. From these qualitative properties we deduce existence of a classical solution for this problem.

Country

Italy

Related Organizations

Sapienza University of Rome
Italy

Keywords

classical solution, Maximum Principle, Sliding Method, Subsolutions and Supersolutions, Maximum Principle, Nonlinear boundary value problems for linear elliptic equations, sliding method, QA1-939, uniqueness, Sliding Method, Subsolution and Supersolution., monotonicity, Mathematics, subsolution and supersolution, Maximum principles in context of PDEs

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