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The Eigenvalues of a Class of Elliptic Differential Operators
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作者 HABIBI VOSTA KOLAEI Mohammad Javad azami shahroud 《Journal of Partial Differential Equations》 CSCD 2023年第1期58-67,共10页
Consider(M,g)as an n-dimensional compact Riemannian manifold.In this paper we are going to study a class of elliptic differential operators which appears naturally in the study of hypersurfaces with constant mean curv... Consider(M,g)as an n-dimensional compact Riemannian manifold.In this paper we are going to study a class of elliptic differential operators which appears naturally in the study of hypersurfaces with constant mean curvature and also the study of variation theory for 1-area functional. 展开更多
关键词 Eigenvalue problem elliptic operators Bochner type formula
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Geometric Estimates of the First Eigenvalue of(p,q)-elliptic Quasilinear System Under Integral Curvature Condition
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作者 HABIBIVOSTA KOLAEI Mohammad Javad azami shahroud 《Journal of Partial Differential Equations》 CSCD 2021年第4期348-368,共21页
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 D... 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. 展开更多
关键词 EIGENVALUE (p q)-elliptic quasilinear system geometric estimate integral curvature
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