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On a semilinear elliptic equation with inverse-square potential

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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.

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Authors and Affiliations

  1. Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie, Boîte Courrier 187, 4 place Jussieu, 75252, Paris Cedex 05, France

    Haïm Brezis

  2. Department of Mathematics - Hill Center, Rutgers Univ., 110 Frelinghuysen Rd., Piscataway, NJ, 08854-8019, USA

    Haïm Brezis

  3. Faculté de Mathématiques, Université de Picardie, 33, Rue Saint Leu, 80 039, Amiens, France

    Louis Dupaigne

  4. Dipartimento di Matematica “G. Castelnuovo”, Università di Roma “La Sapienza”, P. le A. Moro 5, I-00185, Roma, Italia

    Alberto Tesei

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  1. Haïm Brezis
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  2. Louis Dupaigne
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  3. Alberto Tesei
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Correspondence to Haïm Brezis.

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Brezis, H., Dupaigne, L. & Tesei, A. On a semilinear elliptic equation with inverse-square potential. Sel. math., New ser. 11, 1 (2005). https://doi.org/10.1007/s00029-005-0003-z

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  • DOI: https://doi.org/10.1007/s00029-005-0003-z

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