Nonexistence of solutions of a semilinear biharmonic equation with singular potential
type: Item
instance of: scholarly article
title: Nonexistence of solutions of a semilinear biharmonic equation with singular potential
zbMATH Open document ID: 1397.35105
DOI: 10.1134/S0001434618010030
author: Sh. G. Bagyrov
published in: Mathematical Notes
publication date: 2018-06-25T00:00:00Z
review text: The paper deals with the biharmonic equation \[ \Delta^2 u - \dfrac{C}{|x|^4}u-|x|^\sigma |u|^q=0 \] in the exterior of an \(n\)-dimensional ball, with \(0\leq C< (n(n-4)/4)^2,\) \(q>1\) and \(\sigma>-4.\) The main result provides a sufficient condition for nonexistence of global solutions.
reviewed by: Dian K. Palagachev
Mathematics Subject Classification ID: 35J61
Mathematics Subject Classification ID: 31B30
Mathematics Subject Classification ID: 35A01
zbMATH DE Number: 6893867
zbMATH Keywords: semilinear elliptic equation
zbMATH Keywords: biharmonic operator
zbMATH Keywords: nonexistence of global solutions
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 6893867