论文信息 - The iterative solutions for some fourth-order p-Laplace equation boundary value problems

The iterative solutions for some fourth-order p-Laplace equation boundary value problems

Abstract In this paper, the fourth-order four-point p -Laplace equation boundary value problem [ φ p ( u ″ ( x ) ) ] ″ = f ( x , u ( x ) , u ″ ( x ) ) , 0 ≤ x ≤ 1 , u ( 0 ) = 0 , u ( 1 ) = a u ( ξ ) , u ″ ( 0 ) = 0 , u ″ ( 1 ) = b u ″ ( ζ ) , is studied, where φ p ( t ) = | t | p − 2 ⋅ t , p > 1 ; 0 ξ , ζ 1 ; f ∈ C ( [ 0 , 1 ] × R 2 , R ) . The existence of iterative solutions is obtained via the lower and upper solution method.

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