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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
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
Palabras clave:Elliptic systems; Nonlinear boundary conditions; Variational problems
Año:2008
Volumen:187
Número:3
Página de inicio:531
Página de fin:545
DOI: http://dx.doi.org/10.1007/s10231-007-0054-1
Título revista:Annali di Matematica Pura ed Applicata
Título revista abreviado:Ann. Mat. Pura Appl.
ISSN:03733114
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