On a semilinear elliptic equation with inverse-square potential

• Haïm Brezis ^[1] ; Louis Dupaigne ^[2] ; Alberto Tesei ^[3]
  1. [1] Pierre and Marie Curie University

     Pierre and Marie Curie University

     París, Francia

     
  2. [2] University of Picardie Jules Verne

     University of Picardie Jules Verne

     Arrondissement d’Amiens, Francia

     
  3. [3] Università de Roma La Sapienza

     Università de Roma La Sapienza

     Roma Capitale, Italia

     

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• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 11, Nº. 1, 2005, págs. 1-7
• Idioma: inglés
• DOI: 10.1007/s00029-005-0003-z
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• Resumen

  • 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.