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Georg Regensburger

Researcher at Johannes Kepler University of Linz

Publications -  82
Citations -  1576

Georg Regensburger is an academic researcher from Johannes Kepler University of Linz. The author has contributed to research in topics: Boundary value problem & Operator theory. The author has an hindex of 21, co-authored 76 publications receiving 1349 citations. Previous affiliations of Georg Regensburger include Supélec & Austrian Academy of Sciences.

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Sign Conditions for Injectivity of Generalized Polynomial Maps with Applications to Chemical Reaction Networks and Real Algebraic Geometry

Stefan Müller, +5 more
- 01 Feb 2016 - 
TL;DR: In this article, the authors give necessary and sufficient conditions in terms of sign vectors for the injectivity of families of polynomial maps with arbitrary real exponents defined on the positive orthant.
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Solving and factoring boundary problems for linear ordinary differential equations in differential algebras

Markus Rosenkranz, +1 more
- 01 Aug 2008 - 
TL;DR: An algebra of linear integro-differential operators is constructed that is expressive enough for specifying regular boundary problems with arbitrary Stieltjes boundary conditions as well as their solution operators.
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Generalized Mass Action Systems: Complex Balancing Equilibria and Sign Vectors of the Stoichiometric and Kinetic-Order Subspaces

Stefan Müller, +1 more
- 19 Dec 2012 - 
TL;DR: In this paper, a generalized mass-action system is proposed to capture chemical reaction networks in homogeneous and dilute solutions, which admits arbitrary power-law rate functions and serves as a more realistic model for reaction networks.
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Sign conditions for injectivity of generalized polynomial maps with applications to chemical reaction networks and real algebraic geometry

Stefan Müller, +5 more
- 21 Nov 2013 - 
TL;DR: This work recognizes a prior result of Craciun, Garcia-Puente, and Sottile, together with work of two of the authors, as the first partial multivariate generalization of the classical Descartes’ rule, which bounds the number of positive real roots of a univariate real polynomial in terms of thenumber of sign variations of its coefficients.
Journal ArticleDOI

Generalized mass action systems: Complex balancing equilibria and sign vectors of the stoichiometric and kinetic-order subspaces

Stefan Müller, +1 more
- 28 Sep 2012 - 
TL;DR: A notion of generalized mass action systems that admits arbitrary power-law rate functions and serves as a more realistic model for reaction networks in intracellular environments is suggested.