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.
@article{1587,
title = {On the first eigenvalue for linear second order elliptic equations in divergence form},
journal = {CUBO, A Mathematical Journal},
volume = {9},
year = {2007},
language = {en},
url = {http://dml.mathdoc.fr/item/1587}
}
Fabricant, Alexander; Kutev, Nikolai; Rangelov, Tsviatko. On the first eigenvalue for linear second order elliptic equations in divergence form. CUBO, A Mathematical Journal, Tome 9 (2007) . http://gdmltest.u-ga.fr/item/1587/