Semilinear elliptic problems with singular terms on the Heisenberg group

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dc.contributor.author Kumar, Dharmendra
dc.date.accessioned 2019-06-29T06:04:57Z
dc.date.available 2019-06-29T06:04:57Z
dc.date.issued 2019-05
dc.identifier.citation Kumar, Dharmendra, "Semilinear elliptic problems with singular terms on the Heisenberg group", Complex Variables and Elliptic Equations, DOI: 10.1080/17476933.2018.1557157, May 2019. en_US
dc.identifier.issn 1747-6933
dc.identifier.issn 1747-6941
dc.identifier.uri https://doi.org/10.1080/17476933.2018.1557157
dc.identifier.uri https://repository.iitgn.ac.in/handle/123456789/4576
dc.description.abstract We consider the semilinear elliptic problem: ??Hnu??g(?)u(|z|4+t2)1/2=?f(?)u?+h(?)upin ?,u>0in ?,u=0on ??. where ??Hn is an open bounded subset, N?3;0??,0?f,g,h?L?(?). Under assumptions ?,p>0,?>0 small we show that there exists a solution u?H01(?,Hn) ?L?(?) to this problem. The interesting point of the problem under consideration is that it has a strong singularity.
dc.description.statementofresponsibility by Dharmendra Kumar
dc.language.iso en en_US
dc.publisher Taylor & Francis en_US
dc.subject Nonlinear elliptic equation en_US
dc.subject Hardy potential en_US
dc.subject positive solution en_US
dc.title Semilinear elliptic problems with singular terms on the Heisenberg group en_US
dc.type Article en_US
dc.relation.journal Complex Variables and Elliptic Equations


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