Frobenius groups, group of finite Morley rank, pseudo-bad group, HNN-extension

• Autores: Benjin Xuan
• Localización: Revista Colombiana de Matemáticas, ISSN-e 0034-7426, Vol. 37, Nº. 2, 2003, págs. 65-80
• Idioma: inglés
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• Resumen

  • In this paper, we study the existence of multiple solutions to a Caffarelli-Kohn-Nirenberg type equation with asymptotically linear term at infinity. In this case, the well-known Ambrosetti-Rabinowtz type condition doesn't hold, hence it is difficult to verify the classical (PS)$_c$ condition. To overcome this difficulty, we use an equivalent version of Cerami's condition, which allows the more general existence result.