Geodesic
Nonexistence of Solutions of a Semilinear Biharmonic Equation with Singular Potential
Matematičeskie zametki, Tome 103 (2018) no. 1, pp. 27-37.

Voir la notice de l'article provenant de la source Math-Net.Ru

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, critical exponent, test function method.
Mots-clés : global solution 
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Sh. G. Bagyrov. Nonexistence of Solutions of a Semilinear Biharmonic Equation with Singular Potential. Matematičeskie zametki, Tome 103 (2018) no. 1, pp. 27-37. http://geodesic.mathdoc.fr/item/MZM_2018_103_1_a2/

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