@Article{JPDE-34-348, author = {Habibi Vosta Kolaei , Mohammad Javad and Azami , Shahroud}, title = {Geometric Estimates of the First Eigenvalue of $(p,q)$-Elliptic Quasilinear System Under Integral Curvature Condition}, journal = {Journal of Partial Differential Equations}, year = {2021}, volume = {34}, number = {4}, pages = {348--368}, abstract = {

Consider (M,g) as a complete, simply connected Riemannian manifold. The aim of this paper is to provide various geometric estimates in different cases for the first eigenvalue of $(p,q)$-elliptic quasilinear system in both Dirichlet and Neumann conditions on Riemannian manifold. In some cases we add integral curvature condition and maybe we prove some theorems under other conditions.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v34.n4.3}, url = {http://global-sci.org/intro/article_detail/jpde/19403.html} }