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The Critical Hyperbola for a Hamiltonian Elliptic System with Weights

In: Djairo G. de Figueiredo - Selected Papers

Author

Listed:
  • Djairo G. de Figueiredo

    (IMECC, Universidade Estadual de Campinas)

  • Ireneo Peral

    (U. Autonoma de Madrid, Departamento de Matemáticas)

  • Julio D. Rossi

    (FCEyN, UBA (1428), Departamento de Matemática)

Abstract

In this paper we look for existence results for nontrivial solutions to the system, $$ \left\{ {\begin{array}{*{20}c} { - \Updelta u = \frac{{v^{p} }}{{\left| x \right|^{\alpha } }}} & {{\text{in}}\,\Upomega ,} \\ { - \Updelta v = \frac{{u^{p} }}{{\left| x \right|^{\beta } }}} & {{\text{in}}\,\Upomega ,} \\ \end{array} } \right. $$ with Dirichlet boundary conditions, u = v = 0 on ∂Ω and α, β

Suggested Citation

  • Djairo G. de Figueiredo & Ireneo Peral & Julio D. Rossi, 2007. "The Critical Hyperbola for a Hamiltonian Elliptic System with Weights," Springer Books, in: David G. Costa (ed.), Djairo G. de Figueiredo - Selected Papers, edition 127, pages 681-695, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-02856-9_42
    DOI: 10.1007/978-3-319-02856-9_42
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