On the first eigenvalue for linear second order elliptic equations in divergence form

Alexander Fabricant; Nikolai Kutev; Tsviatko Rangelov

On the first eigenvalue for linear second order elliptic equations in divergence form

Alexander Fabricant rangelov@math.bas.bg
Nikolai Kutev rangelov@math.bas.bg
Tsviatko Rangelov rangelov@math.bas.bg

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Abstract

Estimates of the first eigenvalue for linear second-order elliptic equations in divergence form are investigated and some qualitative properties in dependence of the coefficients of the equation are proved. As an application of new formulas for the first eigenvalue, its asymptotic with respect to the large drift is obtained.

Keywords

Elliptic equations , first eigenvalue , asymptotic behavior

Alexander Fabricant Institute of Mathematics and Informatics, Acad. G. Bonchev str. 8, 1113 Sofía, Bulgaria.
Nikolai Kutev Institute of Mathematics and Informatics, Acad. G. Bonchev str. 8, 1113 Sofía, Bulgaria.
Tsviatko Rangelov Institute of Mathematics and Informatics, Acad. G. Bonchev str. 8, 1113 Sofía, Bulgaria.

Pages: 47–64
Date Published: 2007-12-01
Vol. 9 No. 3 (2007): CUBO, A Mathematical Journal

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Published

2007-12-01

How to Cite

[1]

A. Fabricant, N. Kutev, and T. Rangelov, “On the first eigenvalue for linear second order elliptic equations in divergence form”, CUBO, vol. 9, no. 3, pp. 47–64, Dec. 2007.