Nonexistence of Solutions of a Semilinear Biharmonic Equation with Singular Potential

Аннотация

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.