On a semilinear elliptic equation with inverse-square potential

Haïm Brezis; Louis Dupaigne; Alberto Tesei

doi:10.1007/s00029-005-0003-z

On a semilinear elliptic equation with inverse-square potential

Haïm Brezis, Louis Dupaigne, Alberto Tesei

School of Arts and Sciences, Mathematics

Research output: Contribution to journal › Article › peer-review

58 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	1-7
Number of pages	7
Journal	Selecta Mathematica, New Series
Volume	11
Issue number	1
DOIs	https://doi.org/10.1007/s00029-005-0003-z
State	Published - Mar 2005

All Science Journal Classification (ASJC) codes

Mathematics(all)
Physics and Astronomy(all)

Keywords

Distribution solutions
Inverse-square potential
Nonexistence

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10.1007/s00029-005-0003-z

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abstract = "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.",

keywords = "Distribution solutions, Inverse-square potential, Nonexistence",

author = "Ha{\"i}m Brezis and Louis Dupaigne and Alberto Tesei",

note = "Funding Information: Acknowledgments. The three authors are partially supported by an EC Grant through the RTN Program “Fronts-Singularities”, HPRN-CT-2002-00274. The first author (H.B.) is also a member of the Institut Universitaire de France.",

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AU - Brezis, Haïm

AU - Dupaigne, Louis

AU - Tesei, Alberto

N1 - Funding Information: Acknowledgments. The three authors are partially supported by an EC Grant through the RTN Program “Fronts-Singularities”, HPRN-CT-2002-00274. The first author (H.B.) is also a member of the Institut Universitaire de France.

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KW - Distribution solutions

KW - Inverse-square potential

KW - Nonexistence

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On a semilinear elliptic equation with inverse-square potential

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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