Dirichlet Eigenvalue Problem of Degenerate Elliptic Operators with Non-Smooth Coefficients

Dirichlet Eigenvalue Problem of Degenerate Elliptic Operators with Non-Smooth Coefficients

Year:    2022

Author:    Hua Chen, Hong-Ge Chen, Jin-Ning Li

Communications in Mathematical Research , Vol. 38 (2022), Iss. 4 : pp. 498–515

Abstract

The aim of this review is to introduce some recent results in eigenvalues problems for a class of degenerate elliptic operators with non-smooth coefficients, we present the explicit estimates of the lower bound and upper bound for its Dirichlet eigenvalues.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cmr.2021-0065

Communications in Mathematical Research , Vol. 38 (2022), Iss. 4 : pp. 498–515

Published online:    2022-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    18

Keywords:    Dirichlet eigenvalues weighted Sobolev spaces degenerate elliptic operators homogeneous dimension.

Author Details

Hua Chen

Hong-Ge Chen

Jin-Ning Li