Positive radial solutions for semilinear biharmonic equations in annular domains.

Robert Dalmasso

Displaying similar documents to “Positive radial solutions for semilinear biharmonic equations in annular domains.”

A note about a priori estimates for indefinite problems in unbounded domains.

Jacques Giacomoni (2003)

RACSAM

Similarity:

Existence and nonexistence of radial positive solutions of superlinear elliptic systems.

Abdelaziz Ahammou (2001)

Publicacions Matemàtiques

Similarity:

The main goal in this paper is to prove the existence of radial positive solutions of the quasilinear elliptic system ⎧ -Δ_pu = f(x,u,v) in Ω, ⎨ -Δ_qv = g(x,u,v) in Ω, ⎩ u = v = 0 on ∂Ω, where Ω is a ball in R^N and f, g are positive continuous functions satisfying f(x, 0, 0) = g(x, 0, 0) = 0 and some growth conditions which correspond, roughly...

Uniqueness of positive solutions of nonlinear second order systems.

Robert Dalmasso (1995)

Revista Matemática Iberoamericana

Similarity:

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.

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

Similarity:

Existence and multiplicity results for a semilinear elliptic eigenvalue problem

Philippe Clément, Guido Sweers (1987)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Similarity:

A note on nonexistence of radial solutions to semilinear elliptic inequations.

Mohammed Guedda (2002)

Publicacions Matemàtiques

Similarity:

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.

Further qualitative properties for elliptic equations in unbounded domains

Henri Berestycki, Luis Caffarelli, Louis Nirenberg (1997)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Similarity: