Existence and multiplicity of solutions for p -Kirchhoff-type Neumann problems

• Qin Jiang ^[1] ; Sheng Ma ^[1] ; Daniel Paşca ^[2]
  1. [1] Huanggang Normal University

     Huanggang Normal University

     China

     
  2. [2] University of Oradea

     University of Oradea

     Rumanía

     
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 67, Nº. 1, 2024, págs. 107-121
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • We establish, based on variational methods, existence theorems for a p-Kirchhoff-type Neumann problem under the Landesman–Lazer type condition and under the local coercive condition. In addition, multiple solutions for a p-Kirchhoff-type Neumann problem are established using a known three-critical-point theorem proposed by H. Brezis and L.Nirenberg.