On the Existence of Solutions of a Nonlocal Elliptic Equation with ap-Kirchhoff-Type Term

摘要

Questions on the existence of positivesolutions for the following class of elliptic problems are studied:−[M(∥u∥1,pp)]1,pΔpu=f(x,u), inΩ,u=0, on∂Ω, whereΩ⊂ℝNis a bounded smooth domain,f:Ω¯×ℝ+→ℝandM:ℝ+→ℝ,  ℝ+=[0,∞)are given functions.