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On a semilinear elliptic equation with inverse-square potential
Journal article   Peer reviewed

On a semilinear elliptic equation with inverse-square potential

Haïm Brezis, Louis Dupaigne and Alberto Tesei
Selecta mathematica (Basel, Switzerland), Vol.11(1), pp.1-7
11/2005
DOI: https://doi.org/10.1007/s00029-005-0003-z

Abstract

35D05 (primary) 35J15 (secondary) distribution solutions Inverse-square potential Mathematics Mathematics, general nonexistence
We study the existence and nonexistence of solutions to a semilinear elliptic equation with inverse-square potential. The dividing line with respect to existence or nonexistence is given by a critical exponent, which depends on the strength of the potential.

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