INFINITELY MANY SOLUTIONS FOR CLASS OF NAVIER BOUNDARY (p, q)-BIHARMONIC SYSTEMS
نویسنده
چکیده
This article shows the existence and multiplicity of weak solutions for the (p, q)-biharmonic type system ∆(|∆u|p−2∆u) = λFu(x, u, v) in Ω, ∆(|∆v|q−2∆v) = λFv(x, u, v) in Ω, u = v = ∆u = ∆v = 0 on ∂Ω. Under certain conditions on F , we show the existence of infinitely many weak solutions. Our technical approach is based on Bonanno and Molica Bisci’s general critical point theorem.
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