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Existence of Entire Solutions for Quasilinear Elliptic Systems under Keller-Osserman Condition

Author
Zhang, Yuan

Yang, Zuodong

Full text
https://revistas.ufro.cl/ojs/index.php/cubo/article/view/1323
10.4067/S0719-06462013000100008
Abstract
In this paper, we study the existence of entire solutions for the following elliptic system                                          △mu = p(x) f(v), △l v = q(x) g(u),   x ∈ RN, where 1 < m, l < ∞, f, g are continuous and non-decreasing on [0,∞), satisfy f(t) > 0, g(t) > 0 for all t > 0 and the Keller-Osserman condition. We establish conditions on p and q that are necessary for the existence of positive solutions, bounded and unbounded, of the given equation.
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Artes, Arquitectura y UrbanismoCiencias Agrarias, Forestales y VeterinariasCiencias Exactas y NaturalesCiencias SocialesDerechoEconomía y AdministraciónFilosofía y HumanidadesIngenieríaMedicinaMultidisciplinarias
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Universidad de ChileUniversidad Católica de ChileUniversidad de Santiago de ChileUniversidad de ConcepciónUniversidad Austral de ChileUniversidad Católica de ValparaísoUniversidad del Bio BioUniversidad de ValparaísoUniversidad Católica del Nortemore

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