Resumen de Uniform a priori estimates for positive solutions of higher order Lane-Emden equations in Rn
In this paper we study the existence of uniform a priori estimates for positive solutions to Navier problems of higher order Lane–Emden equations (0.1)(−∆)mu(x) = u p (x), x ∈ Ω, for all large exponents p, where Ω ⊂ Rn is a star-shaped or strictly convex bounded domain with C2m−2 boundary, n ≥ 4, and 2 ≤ m ≤ n 2 . Our results extend those of previous authors for second order m = 1 to general higher order cases m ≥ 2.
