Oligopoly theory is one of the most intensively studied areas of mathematical economics. On
the basis of the pioneering works of Cournot (1838), many researchers have developed and …

Until recently, the only known examples of non-injective polynomial local diffeomorphisms of
the plane were the Pinchuk maps discovered in 1994. These maps have the form (p, q) …

We prove the following version of the real Jacobian conjecture:“Let F=(p, q): R 2→ R 2 be a
polynomial map with nowhere zero Jacobian determinant. If the degree of p is less than or …

There are obtained conditions under which maps from Rn to itself are globally injective. In
particular there are proved some partial results related to the Weak Markus-Yamabe …

We develop tools to count the connected components of the fibers of a polynomial
submersion in two real variables p. As a consequence, we get a necessary condition for a …

Abstract Let F=(f, g): R 2→ R 2 be a polynomial map such that det⁡ DF (x, y) is different from
zero for all (x, y)∈ R 2 and F (0, 0)=(0, 0). We prove that for the injectivity of F it is sufficient to …

Planar embeddings with a globally attracting fixed point - ScienceDirect Skip to main contentSkip
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Stability of the linear system, especially the diagonalizable system, can be verified by
computing the signs of the real parts of its eigenvalues. In this paper, we generalize this …

The present paper is devoted to investigating the two-dimensional real Jacobian conjecture.
This conjecture claims that if F=(f, g): R 2→ R 2 is a polynomial map with det⁡ DF (x, y)≠ 0 …

On invertibility of Sobolev mappings Page 1 J. reine angew. Math. 656 (2011), 1—16 DOI
10.1515/CRELLE.2011.038 Journal für die reine und angewandte Mathematik ( Walter de …