Nonexistence of Solutions of a Semilinear Biharmonic Equation with Singular Potential
- Authors: Bagyrov S.G.1,2
-
Affiliations:
- Baku State University
- Institute of Mathematics and Mechanics
- Issue: Vol 103, No 1-2 (2018)
- Pages: 24-32
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/150510
- DOI: https://doi.org/10.1134/S0001434618010030
- ID: 150510
Cite item
Abstract
The nonexistence of a global solution of the semilinear elliptic equation Δ2u − (C/|x|4)u − |x|σ|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.
About the authors
Sh. G. Bagyrov
Baku State University; Institute of Mathematics and Mechanics
Author for correspondence.
Email: sh_bagirov@yahoo.com
Azerbaijan, Baku; Baku
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