Problem With Critical Sobolev Exponent and With Potential on SN

We consider the equation −divSNqx∇Snu=u2∗−1,u>0 in D’, u=0 on D′, where D′ is a geodesic ball with radius θ1, centered at the north pole, on SN, N≥4, and q is a positive continuous function. We prove the existence of solutions that depends only on the behavior of the potential q near its minima....

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Bibliographic Details
Main Authors: Walid Refai, Habib Yazidi
Format: Article
Language:English
Published: Wiley 2024-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2024/3495135
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