Critical nonlinear elliptic equations with singularities and cylindrical symmetry

• Autores: M. Badiale, Eduard Serra i Hosta
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 20, Nº 1, 2004, págs. 33-66
• Idioma: inglés
• DOI: 10.4171/rmi/379
• Títulos paralelos:
  • Ecuaciones elípticas no lineales críticas con singularidades y simetría cilíndrica.
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• Resumen

  • Motivated by a problem arising in astrophysics we study a nonlinear elliptic equation in RN with cylindrical symmetry and with singularities on a whole subspace of RN. We study the problem in a variational framework and, as the nonlinearity also displays a critical behavior, we use some suitable version of the Concentration-Compactness Principle. We obtain several results on existence and nonexistence of solutions.