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Symmetry and
nonexistence of positive solutions for fractional Choquard
equations
Pei Ma, Xudong Shang and Jihui Zhang |
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Vol. 304 (2020), No. 1, 143–167
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Abstract |
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This paper is devoted to study the following Choquard equation: where , , and . Using a direct method of moving planes, we prove the symmetry and nonexistence of positive solutions in the critical and subcritical cases respectively. |
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Keywords
The method of moving planes, fractional Laplacian, Choquard
equation
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Mathematical Subject Classification 2010
Primary: 35B06, 35B09, 35B50, 35B53, 35R11
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Milestones
Received: 7 November 2018
Revised: 27 April 2019
Accepted: 25 May 2019
Published: 18 January 2020
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Authors |
| Pei Ma | |
| School of Mathematical
Sciences Nanjing Normal University; College of Science Nanjing Forestry University Nanjing China |
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| Xudong Shang | |
| Nanjing Normal University Taizhou
College Taizhou China |
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| Jihui Zhang | |
| Jiangsu Key Laboratory for
NSLSCS School of Mathematical Sciences Nanjing Normal University Nanjing China |
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