Artículo
On the existence of bounded solutions for a nonlinear elliptic system
Fecha de publicación:
04/2011
Editorial:
Springer Heidelberg
Revista:
Annali Di Matematica Pura Ed Applicata
ISSN:
0373-3114
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
This work deals with the system (−Δ)mu = a(x) vp, (−Δ)mv = b(x) uq with Dirichlet boundary condition in a domain Ω⊂Rn , where Ω is a ball if n ≥ 3 or a smooth perturbation of a ball when n = 2. We prove that, under appropriate conditions on the parameters (a, b, p, q, m, n), any nonnegative solution (u, v) of the system is bounded by a constant independent of (u, v). Moreover, we prove that the conditions are sharp in the sense that, up to some border case, the relation on the parameters are also necessary. The case m = 1 was considered by Souplet (Nonlinear Partial Differ Equ Appl 20:464–479, 2004). Our paper generalize to m ≥ 1 the results of that paper.
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Articulos(IMAS)
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Citación
Duran, Ricardo Guillermo; Sanmartino, Marcela; Toschi, Marisa; On the existence of bounded solutions for a nonlinear elliptic system; Springer Heidelberg; Annali Di Matematica Pura Ed Applicata; 191; 4; 4-2011; 771-782
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