Institutional Repository
Technical University of Crete
Technical University of Crete
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| URI | http://purl.tuc.gr/dl/dias/509DC46F-5781-4063-8C94-E02B73A72C77 | - |
| Identifier | ftp://ftp2.de.freebsd.org/pub/EMIS/journals/EJDE/2005/57/kandilakis.pdf | - |
| Language | en | - |
| Extent | 11 | en |
| Title | A multiplicity result for quasilinear problems with convex and concave nonlinearities and nonlinear boundary conditions in unbounded domains | en |
| Creator | Kandylakis Dimitrios | en |
| Creator | Κανδυλακης Δημητριος | el |
| Description | Δημοσίευση σε επιστημονικό περιοδικό | el |
| Content Summary | We study the following quasilinear problem with nonlinear boundary conditions −∆pu = λa(x)|u| p−2u + k(x)|u| q−2u − h(x)|u| s−2u, in Ω, |∇u| p−2∇u · η + b(x)|u| p−2u = 0 on ∂Ω, where Ω is an unbounded domain in RN with a noncompact and smooth boundary ∂Ω, η denotes the unit outward normal vector on ∂Ω, ∆pu = div(|∇u| p−2∇u) is the p-Laplacian, a, k, h and b are nonnegative essentially bounded functions, q < p < s and p ∗ < s. The properties of the first eigenvalue λ1 and the associated eigenvectors of the related eigenvalue problem are examined. Then it is shown that if λ < λ1, the original problem admits an infi- nite number of solutions one of which is nonnegative, while if λ = λ1 it admits at least one nonnegative solution. Our approach is variational in character | el |
| Type of Item | Peer-Reviewed Journal Publication | en |
| Type of Item | Δημοσίευση σε Περιοδικό με Κριτές | el |
| License | http://creativecommons.org/licenses/by/4.0/ | en |
| Date of Item | 2015-10-29 | - |
| Date of Publication | 2005 | - |
| Bibliographic Citation | D.A. Kandilakis, "A multiplicity result for quasilinear problems with convex and concave nonlinearities and nonlinear boundary conditions in unbounded domain,"Electronic Journal of Differential Equations, vol. 2005, no. 57, pp. 1–12, 2005. | en |
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