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Matematicheskie Zametki, 2018, Volume 103, Issue 1, Pages 27–37
DOI: https://doi.org/10.4213/mzm11498 (Mi mzm11498) 		 
Nonexistence of Solutions of a Semilinear Biharmonic Equation with Singular Potential

Sh. G. Bagyrovab

a Baku State University
b Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, Baku
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DOI: https://doi.org/10.4213/mzm11498
Abstract: The nonexistence of a global solution of the semilinear elliptic equation $\Delta^{2}u-(C/|x|^{4})u-|x|^{\sigma}|u|^{q}=0$ in the exterior of a ball is studied. A sufficient condition for the nonexistence of a global solution is established. The proof is based on the test function method.
Keywords: semilinear elliptic equation, biharmonic operator, global solution, critical exponent, test function method.
Received: 15.12.2016
English version:
Mathematical Notes, 2018, Volume 103, Issue 1, Pages 24–32
DOI: https://doi.org/10.1134/S0001434618010030
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: Sh. G. Bagyrov, “Nonexistence of Solutions of a Semilinear Biharmonic Equation with Singular Potential”, Mat. Zametki, 103:1 (2018), 27–37; Math. Notes, 103:1 (2018), 24–32
Citation in format AMSBIB
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