On principal eigenvalues for boundary value problems with indefinite weight and robin boundary conditions

G. A. Afrouzi; K. J. Brown

On principal eigenvalues for boundary value problems with indefinite weight and robin boundary conditions

G. A. Afrouzi, K. J. Brown

Research output: Contribution to journal › Article › peer-review

Abstract

We investigate the existence of principal eigenvalues (i.e., eigenvalues corresponding to positive eigenfunctions) for the boundary value problem -?u(x) = ?g(x)u(x) on D; ?u/?n(x) + au(x) = 0 on ?D, where D is a bounded region in R^N, g is an indefinite weight function and a e R may be positive, negative or zero. © 1999 American Mathematical Society.

Original language	English
Pages (from-to)	125-130
Number of pages	6
Journal	Proceedings of the American Mathematical Society
Volume	127
Issue number	1
Publication status	Published - 1999

Keywords

Indefinite weight function
Principal eigenvalues

Cite this

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title = "On principal eigenvalues for boundary value problems with indefinite weight and robin boundary conditions",

abstract = "We investigate the existence of principal eigenvalues (i.e., eigenvalues corresponding to positive eigenfunctions) for the boundary value problem -?u(x) = ?g(x)u(x) on D; ?u/?n(x) + au(x) = 0 on ?D, where D is a bounded region in RN, g is an indefinite weight function and a e R may be positive, negative or zero. {\textcopyright} 1999 American Mathematical Society.",

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N2 - We investigate the existence of principal eigenvalues (i.e., eigenvalues corresponding to positive eigenfunctions) for the boundary value problem -?u(x) = ?g(x)u(x) on D; ?u/?n(x) + au(x) = 0 on ?D, where D is a bounded region in RN, g is an indefinite weight function and a e R may be positive, negative or zero. © 1999 American Mathematical Society.

AB - We investigate the existence of principal eigenvalues (i.e., eigenvalues corresponding to positive eigenfunctions) for the boundary value problem -?u(x) = ?g(x)u(x) on D; ?u/?n(x) + au(x) = 0 on ?D, where D is a bounded region in RN, g is an indefinite weight function and a e R may be positive, negative or zero. © 1999 American Mathematical Society.

KW - Indefinite weight function

KW - Principal eigenvalues

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SN - 0002-9939

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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On principal eigenvalues for boundary value problems with indefinite weight and robin boundary conditions

Abstract

Keywords

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