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Volume 38, Issue 4
Dirichlet Eigenvalue Problem of Degenerate Elliptic Operators with Non-Smooth Coefficients

Hua Chen, Hong-Ge Chen & Jin-Ning Li

DOI: 10.4208/cmr.2021-0065

Commun. Math. Res., 38 (2022), pp. 498-515.

Published online: 2022-10

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  • 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.

  • Keywords

Dirichlet eigenvalues, weighted Sobolev spaces, degenerate elliptic operators, homogeneous dimension.

  • AMS Subject Headings

35P15, 35J70

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-38-498, author = {Chen , HuaChen , Hong-Ge and Li , Jin-Ning}, title = {Dirichlet Eigenvalue Problem of Degenerate Elliptic Operators with Non-Smooth Coefficients}, journal = {Communications in Mathematical Research }, year = {2022}, volume = {38}, number = {4}, pages = {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.

}, issn = {2707-8523}, doi = {https://doi.org/10.4208/cmr.2021-0065}, url = {http://global-sci.org/intro/article_detail/cmr/21069.html} }
TY - JOUR T1 - Dirichlet Eigenvalue Problem of Degenerate Elliptic Operators with Non-Smooth Coefficients AU - Chen , Hua AU - Chen , Hong-Ge AU - Li , Jin-Ning JO - Communications in Mathematical Research VL - 4 SP - 498 EP - 515 PY - 2022 DA - 2022/10 SN - 38 DO - http://doi.org/10.4208/cmr.2021-0065 UR - https://global-sci.org/intro/article_detail/cmr/21069.html KW - Dirichlet eigenvalues, weighted Sobolev spaces, degenerate elliptic operators, homogeneous dimension. AB -

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.

Chen , HuaChen , Hong-Ge and Li , Jin-Ning. (2022). Dirichlet Eigenvalue Problem of Degenerate Elliptic Operators with Non-Smooth Coefficients. Communications in Mathematical Research . 38 (4). 498-515. doi:10.4208/cmr.2021-0065
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