Nonexistence of Solutions of a Semilinear Biharmonic Equation with Singular Potential


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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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