Name
Abstract | ||
|---|---|---|
In this paper we discuss the existence of weak solutions for the fourth-order Navier boundary value problem {Δ2u(x)+cΔu(x)=λu(x)+f(u(x)),in Ω,u=Δu=0,on ∂Ω, where λ is a parameter, Δ2 is the biharmonic operator, Ω⊂RN(N>4) is a smooth bounded domain, and f∈C(R,R). We use topological degree theory and critical point theory to establish the existence. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1016/j.aml.2014.01.003 | Applied Mathematics Letters |
Keywords | Field | DocType |
Navier boundary value problem,Topological degree theory,Critical point theory,Weak solution | Boundary value problem,Mathematical optimization,Mathematical analysis,Fourth order,Weak solution,Critical point (thermodynamics),Topological degree theory,Biharmonic equation,Mathematics,Bounded function | Journal |
Volume | ISSN | Citations |
37 | 0893-9659 | 0 |
PageRank | References | Authors |
0.34 | 0 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jiafa Xu | 1 | 6 | 3.72 |
| Wei Dong | 2 | 0 | 0.68 |
| Donal O’Regan | 3 | 110 | 28.03 |