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

Qin Jiang, Sheng Ma, Daniel Paşca

• 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.