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On nonradial singular
solutions of supercritical biharmonic equations
Zongming Guo, Juncheng Wei and Wen Yang |
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Vol. 284 (2016), No. 2, 395–430
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Abstract |
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We develop a gluing method for fourth-order ODEs and construct infinitely many nonradial singular solutions for a biharmonic equation with supercritical exponent. |
Keywords
nonradial solutions, biharmonic supercritical equations,
gluing method
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Mathematical Subject Classification 2010
Primary: 35B40, 35J91
Secondary: 58J55
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Milestones
Received: 2 October 2015
Revised: 26 December 2015
Accepted: 10 January 2016
Published: 30 August 2016
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Authors |
| Zongming Guo | |
| Department of Mathematics Henan Normal University Xinxiang 453007 China |
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| Juncheng Wei | |
| Department of Mathematics University of British Columbia Vancouver, BC V6T 1Z2 Canada |
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| Wen Yang | |
| Center for Advanced Study in
Theoretical Science National Taiwan University No. 1, Sec. 4 Roosevelt Road Taipei 106 Taiwan |
Department of Mathematics University of British Columbia Vancouver, BC V6T 1Z2 Canada |
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