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  4. Semilinear elliptic problems with singular terms on the Heisenberg group
 
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Semilinear elliptic problems with singular terms on the Heisenberg group

Source
Complex Variables and Elliptic Equations
ISSN
17476933
Date Issued
2019-01-01
Author(s)
Kumar, Dharmendra
DOI
10.1080/17476933.2018.1557157
Volume
64
Issue
11
Abstract
We consider the semilinear elliptic problem: (Formula presented.) where (Formula presented.) is an open bounded subset, (Formula presented.) Under assumptions (Formula presented.) small we show that there exists a solution (Formula presented.) (Formula presented.) to this problem. The interesting point of the problem under consideration is that it has a strong singularity.
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URI
https://d8.irins.org/handle/IITG2025/23389
Subjects
35J25 | Hardy potential | Nonlinear elliptic equation | positive solution | Primary 35J05 | Secondary 46E35
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