Multiple Solutions to a Transmission Problem with a Critical Hardy-Sobolev Exponential Source Term

• Yue Wang ^[1]
  1. [1] Guizhou Minzu University

     Guizhou Minzu University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 23, Nº 3, 2024
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • In the paper there are established many results for a transmission problem with critical Hardy-Sobolev exponential source term u3 |x| in R3. We obtain that there are at least three weakly nontrivial solutions when a positive coefficient of nonhomogeneous term is enough small using the variational method. Next infinitely many classical solutions are obtained when the coefficient equals to zero. Moreover, a new compactness condition is derived with the help of Brezis-Lieb’s lemma and Mazur’s lemma.

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