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Instead, we have to work a bit harder to establish ( 8 ) using uniform estimates on the classical Jacobi polynomials.. We assume here for simplicity that the polynomial F has
are weak solutions for (1. ) , thus they can be named p-harmonic functions... 2.Fundamental solutions for p-Laplace equation.. We will first construct a simple radial solution
As is well known, the Schur complements of strictly or irreducibly diagonally dom- inant matrices are H − matrices; however, the same is not true of generally diagonally
L -subsequence, the elements in I ′ to the right of those that are not in I ′ must be different and thus independent of each other. by multiplication on a fixed group
On the one hand, it is well-known from the work of Aldous [1] that the uniform random tree on a set of n vertices can be rescaled (specifically edges by a factor 1 / p n and masses
Lyapounov exponent for the parabolic Anderson model with lévy noise, Probab.. Lyapunov exponents for the parabolic Anderson model,
It is not surprising, because the equation can be integrated by the inverse scattering method or, in other words, it is S-integrable, it is well known in the case of
The Lie algebroid approach to Lagrangian Mechanics builds on the geometrical structure of the prolongation of a Lie algebroid [15] (where one can develop a geometric
