Positive solutions of some coercive-anticoercive elliptic systems
Giovanni Mancini, Enzo Mitidieri (1986-1987)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Displaying similar documents to “A note on nonexistence of radial solutions to semilinear elliptic inequations.”
Positive solutions of some coercive-anticoercive elliptic systems
Existence and nonexistence of radial positive solutions of superlinear elliptic systems.
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...
Local properties of stationary solutions of some nonlinear singular Schrödinger equations.
Bouchaib Guerch, Laurent Véron (1991)
Revista Matemática Iberoamericana
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We study the local behaviour of solutions of the following type of equation, -Δu - V(x)u + g(u) = 0 when V is singular at some points and g is a non-decreasing function. Emphasis is put on the case when V(x) = c|x|-2 and g has a power-like growth.
Fully nonlinear second order elliptic equations with large zeroth order coefficient
L. C. Evans, Pierre-Louis Lions (1981)
Annales de l'institut Fourier
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We prove the existence of classical solutions to certain fully non-linear second order elliptic equations with large zeroth order coefficient. The principal tool is an estimate asserting that the -norm of the solution cannot lie in a certain interval of the positive real axis.
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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A note about a priori estimates for indefinite problems in unbounded domains.
Jacques Giacomoni (2003)
RACSAM
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Explosive solutions of semilinear elliptic systems with gradient term.
Marius Ghergu, Vicentiu Radulescu (2003)
RACSAM
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Estudiamos la existencia de soluciones del sistema elíptico no lineal Δu + |∇u| = p(|x|)f(v), Δv + |∇v| = q(|x|)g(u) en Ω que explotan en el borde. Aquí Ω es un dominio acotado de R o el espacio total. Las nolinealidades f y g son funciones continuas positivas mientras que los potenciales p y q son funciones continuas que satisfacen apropiadas condiciones de crecimiento en el infinito. Demostramos que las soluciones explosivas en el borde dejan de existir si f y g son sublineales. Esto...
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...