Displaying similar documents to “On strong tracts of subharmonic functions of infinite lower order”

Growth and asymptotic sets of subharmonic functions (II)

Jang-Mei Wu (1998)

Publicacions Matemàtiques

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We study the relation between the growth of a subharmonic function in the half space R and the size of its asymptotic set. In particular, we prove that for any n ≥ 1 and 0 < α ≤ n, there exists a subharmonic function u in the R satisfying the growth condition of order α : u(x) ≤ x for 0 < x < 1, such that the Hausdorff dimension of the asymptotic set ∪A(λ) is exactly n-α. Here A(λ) is the set of boundary points at which...

Fundamental solutions and asymptotic behaviour for the p-Laplacian equation.

Soshana Kamin, Juan Luis Vázquez (1988)

Revista Matemática Iberoamericana

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We establish the uniqueness of fundamental solutions to the p-Laplacian equation ut = div (|Du|p-2 Du),   p > 2, defined for x ∈ RN, 0 < t < T. We derive from this result the asymptotic behavoir of nonnegative solutions with finite mass, i.e., such that u(*,t) ∈ L1(RN). Our methods also apply to the porous medium equation ut...

Asymptotic Solutions of nonlinear difference equations

I. P. van den Berg (2008)

Annales de la faculté des sciences de Toulouse Mathématiques

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We study the asymptotics of first-order nonlinear difference equations. In particular we present an asymptotic functional equation for potential asymptotic behaviour, and a theorem stating sufficient conditions for the existence of an actual solution with such asymptotic behaviour.

Lower bounds for a conjecture of Erdős and Turán

Ioannis Konstantoulas (2013)

Acta Arithmetica

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We study representation functions of asymptotic additive bases and more general subsets of ℕ (sets with few nonrepresentable numbers). We prove that if ℕ∖(A+A) has sufficiently small upper density (as in the case of asymptotic bases) then there are infinitely many numbers with more than five representations in A+A, counting order.