Positive radial solutions for semilinear biharmonic equations in annular domains.
Robert Dalmasso (1993)
Revista Matemática de la Universidad Complutense de Madrid
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Displaying similar documents to “Existence and nonexistence of radial positive solutions of superlinear elliptic systems.”
Positive radial solutions for semilinear biharmonic equations in annular domains.
A note on nonexistence of radial solutions to semilinear elliptic inequations.
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.
A note about a priori estimates for indefinite problems in unbounded domains.
Jacques Giacomoni (2003)
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An elliptic semilinear equation with source term involving boundary measures: the subcritical case.
Marie Françoise Bidaut-Véron, Laurent Vivier (2000)
Revista Matemática Iberoamericana
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We study the boundary behaviour of the nonnegative solutions of the semilinear elliptic equation in a bounded regular domain Ω of RN (N ≥ 2), ⎧ Δu + uq = 0, in Ω ⎨ ⎩ u = μ, on ∂Ω where 1 < q < (N + 1)/(N - 1) and μ is a Radon measure on ∂Ω. We give a priori estimates and existence results. The lie on the study of superharmonic functions in some weighted...
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Philippe Clément, Guido Sweers (1987)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Qualitative properties of positive solutions of semilinear elliptic equations in symmetric domains via the maximum principle
Lucio Damascelli, Massimo Grossi, Filomena Pacella (1999)
Annales de l'I.H.P. Analyse non linéaire
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Genericity of the existence of infinitely many solutions for a class of semilinear elliptic equations in
Francesca Alessio, Paolo Caldiroli, Piero Montecchiari (1998)
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Uniqueness of positive solutions of nonlinear second order systems.
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.