Quasilinear elliptic problems interacting with its asymptotic spectrum

Under suitable assumptions on the coefficients of the matrix A(x,u) and on the nonlinear term f(x,u), we study the quasilinear problem in bounded domains Ω⊂RN−div(A(x,u)∇u)=f(x,u),x∈Ω,u=0,x∈∂Ω.We extend the semilinear results of Landesman–Lazer (J. Math. Mech. 19 (1970) 609) and of Ambrosetti–Prodi...

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Bibliographic Details
Main Authors: Arcoya, David, Carmona Tapia, José
Format: info:eu-repo/semantics/article
Language:English
Published: Elsevier 2012
Subjects:
Online Access:http://hdl.handle.net/10835/580