Title of article :
Existence results for some fourth-order nonlinear
elliptic problems of local superlinearity and
sublinearity ✩
Author/Authors :
Guixiang Xu and Jihui Zhang ?، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2003
Abstract :
In this paper we study the existence of positive solutions for the problem
Δ2u+ cΔu = f (x,u) in Ω,
u 0, u ≡0 in Ω,
u = Δu =0 on ∂Ω,
(0.1)
where c < λ1(Ω) and f (x,u) satisfies the local superlinearity and sublinearity condition.
2003 Elsevier Science (USA). All rights reserved.
Keywords :
Suspensionbridge , Superlinear , Positive solutions , Variational Method , Sublinear , biharmonic operator
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications