Abstract
Abstract In this paper, we establish the existence of at least three solutions for the following nonlocal elliptic system of ( p , q ) -Kirchhoff type - M 1 ∫ Ω | ∇ u | p dx p - 1 Δ p u = λ F u ( x , u , v ) + μ G u ( x , u , v ) in Ω , - M 2 ∫ Ω | ∇ v | q dx q - 1 Δ q v = λ F v ( x , u , v ) + μ G v ( x , u , v ) in Ω , u = v = 0 on ∂ Ω . Our technical approach is based on the three critical points theorem of Ricceri.
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