Abstract:
In this paper we look for existence results for nontrivial solutions to the system, "equation is presented". with Dirichlet boundary conditions, u = v = 0 on ∂ Ω and α, β < N. We find the existence of a critical hyperbola in the (p,q) plane (depending on α, β and N) below which there exists nontrivial solutions. For the proof we use a variational argument (a linking theorem). © 2007 Springer-Verlag.
Registro:
Documento: |
Artículo
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Título: | The critical hyperbola for a Hamiltonian elliptic system with weights |
Autor: | De Figueiredo, D.G.; Peral, I.; Rossi, J.D. |
Filiación: | IMECC, Universidade Estadual de Campinas, Campinas, SP 13081-970, Brazil Departamento de Matemáticas, U. Autonoma de Madrid, Madrid 28049, Spain Departamento de Matemática, FCEyN, UBA (1428), Buenos Aires, Argentina
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Palabras clave: | Elliptic systems; Nonlinear boundary conditions; Variational problems |
Año: | 2008
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Volumen: | 187
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Número: | 3
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Página de inicio: | 531
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Página de fin: | 545
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DOI: |
http://dx.doi.org/10.1007/s10231-007-0054-1 |
Título revista: | Annali di Matematica Pura ed Applicata
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Título revista abreviado: | Ann. Mat. Pura Appl.
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ISSN: | 03733114
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03733114_v187_n3_p531_DeFigueiredo |
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Citas:
---------- APA ----------
De Figueiredo, D.G., Peral, I. & Rossi, J.D.
(2008)
. The critical hyperbola for a Hamiltonian elliptic system with weights. Annali di Matematica Pura ed Applicata, 187(3), 531-545.
http://dx.doi.org/10.1007/s10231-007-0054-1---------- CHICAGO ----------
De Figueiredo, D.G., Peral, I., Rossi, J.D.
"The critical hyperbola for a Hamiltonian elliptic system with weights"
. Annali di Matematica Pura ed Applicata 187, no. 3
(2008) : 531-545.
http://dx.doi.org/10.1007/s10231-007-0054-1---------- MLA ----------
De Figueiredo, D.G., Peral, I., Rossi, J.D.
"The critical hyperbola for a Hamiltonian elliptic system with weights"
. Annali di Matematica Pura ed Applicata, vol. 187, no. 3, 2008, pp. 531-545.
http://dx.doi.org/10.1007/s10231-007-0054-1---------- VANCOUVER ----------
De Figueiredo, D.G., Peral, I., Rossi, J.D. The critical hyperbola for a Hamiltonian elliptic system with weights. Ann. Mat. Pura Appl. 2008;187(3):531-545.
http://dx.doi.org/10.1007/s10231-007-0054-1