A note about a priori estimates for indefinite problems in unbounded domains.
Jacques Giacomoni (2003)
RACSAM
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Jacques Giacomoni (2003)
RACSAM
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Abdelaziz Ahammou (2001)
Publicacions Matemàtiques
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The main goal in this paper is to prove the existence of radial positive solutions of the quasilinear elliptic system ⎧ -Δpu = f(x,u,v) in Ω, ⎨ -Δqv = g(x,u,v) in Ω, ⎩ u = v = 0 on ∂Ω, where Ω is a ball in RN and f, g are positive continuous functions satisfying f(x, 0, 0) = g(x, 0, 0) = 0 and some growth conditions which correspond, roughly...
Robert Dalmasso (1995)
Revista Matemática Iberoamericana
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In this paper we discuss the uniqueness of positive solutions of the nonlinear second order system -u'' = g(v), -v'' = f(u) in (-R,R), u(±R) = v(±R) = 0 where f and g satisfy some appropriate conditions. Our result applies, in particular, to g(v) = v, f(u) = u, p > 1, or f(u) = λu + au + ... + au, with p > 1, a > 0 for j = 1, ..., k and 0 ≤ λ < μ where μ = π/4R.
Lucio Damascelli, Massimo Grossi, Filomena Pacella (1999)
Annales de l'I.H.P. Analyse non linéaire
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Philippe Clément, Guido Sweers (1987)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Mohammed Guedda (2002)
Publicacions Matemàtiques
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We study the nonexistence result of radial solutions to -Δu + c u/(|x|) + |x||u|u ≤ 0 posed in B or in B {0} where B is the unit ball centered at the origin in R, N ≥ 3. Moreover, we give a complete classification of radial solutions to the problem -Δu + c u/(|x|) + |x||u|u = 0. In particular we prove that the latter has exactly one family of radial solutions.
Henri Berestycki, Luis Caffarelli, Louis Nirenberg (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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