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To complete the “concrete” proof of the “al- gebraic implies automatic” direction of Theorem 4.1.3, we must explain why the field of p-quasi-automatic series is closed

In general, Liouville type theorems for stable solutions of nonlinear elliptic equations are usually guaranteed in low dimensional case.. The main purpose of this paper is to obtain

[14.] It must, however, be remembered, as a part of such development, that although, when this condition (232) or (235) or (236) is satisfied, the three auxiliary problems above

These estimates involve three exponents which are usually associated to infinite graphs: the spectral dimension δ s (which is by definition twice the exponent of n − 1 in local

A crucial physical prescription is that the field must be covariant under the action of a unitary representation U(g) of some transformation group (such as the Poincaré or Lorentz

We prove that any simply connected and complete Riemannian manifold, on which a Randers metric of positive constant flag curvature exists, must be diffeomorphic to an

Kartsatos, The existence of bounded solutions on the real line of perturbed non- linear evolution equations in general Banach spaces, Nonlinear Anal.. Kreulich, Eberlein weak

In fact, we have shown that, for the more natural and general condition of initial-data, any 2 × 2 totally degenerated system of conservation laws, which the characteristics speeds