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