The Critical Hyperbola for a Hamiltonian Elliptic System with Weights

Djairo G. de Figueiredo (), Ireneo Peral () and Julio D. Rossi ()
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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

A chapter in Djairo G. de Figueiredo - Selected Papers, 2007, pp 681-695 from Springer

Abstract: 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

Keywords: Elliptic systems; Nonlinear boundary conditions; Variational problems; 35J65; 35J20; 35J55 (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-02856-9_42

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DOI: 10.1007/978-3-319-02856-9_42

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