Problem With Critical Sobolev Exponent and With Potential on SN

Walid Refai, Habib Yazidi and Yansheng Liu

Journal of Applied Mathematics, 2024, vol. 2024, 1-5

Abstract: 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.

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:3495135

DOI: 10.1155/2024/3495135

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