@article{Xue2025, 
author = {Ye Xue and Yongzhen Ge and Yunlan Wei},
title = {The existence of a nontrivial solution to an elliptic equation with critical Sobolev exponent and a general potential well},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {3},
pages = {7339-7354},
keywords = {elliptic equation, existence, general potential, critical Sobolev exponent},
url = {https://www.sciopen.com/article/10.3934/math.2025336},
doi = {10.3934/math.2025336},
abstract = {The purpose of this paper is to examine a class of elliptic problems that involve negative potentials    a  ∈      L                  N        2              (  Ω  ) and critical nonlinearities. To discuss this, the well-known eigenvalue problem    −  Δ  −  a is considered. Under some mild assumptions, an existence result is obtained, which extends the existing results to the critical case.}
}