A global smooth version of the classical Łojasiewicz inequality
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Publication:743221
DOI10.1016/j.jmaa.2014.08.010zbMath1300.26014OpenAlexW2094264951MaRDI QIDQ743221
Ha Huy Vui, Huynh Van Ngai, Tiên Sȯn Phạm
Publication date: 23 September 2014
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.08.010
Real polynomials: location of zeros (26C10) Inequalities involving derivatives and differential and integral operators (26D10) Local complex singularities (32S05)
Related Items
Global Łojasiewicz inequalities on comparing the rate of growth of polynomial functions, The Łojasiewicz exponent at infinity of non-negative and non-degenerate polynomials
Cites Work
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- An explicit bound for the Łojasiewicz exponent of real polynomials
- Sur la topologie des polynômes complexes. (Topology of complex polynomials)
- Semianalytic and subanalytic sets
- The Łojasiewicz exponent of an analytic function at an isolated zero
- Computation of Lojasiewicz exponent of f(x,y)
- Separation of algebraic sets and the Łojasiewicz exponent of polynomial mappings
- Asymptotic behaviour of families of real curves
- Singularities at infinity and their vanishing cycles
- Geometric categories and o-minimal structures
- Global Łojasiewicz-type inequality for non-degenerate polynomial maps
- On the division of distributions by polynomials
- Global Hölderian Error Bound for Nondegenerate Polynomials
- ŁOJASIEWICZ INEQUALITY ON NON-COMPACT DOMAINS AND SINGULARITIES AT INFINITY
- Separation of real algebraic sets and the Łojasiewicz exponent
- Local Diophantine Nullstellen Inequalities
- Nonconvex minimization problems
- A Global Lojasiewicz Inequality for Algebraic Varieties
- Multidimensional van der Corput and sublevel set estimates
- Bilipschitz Invariance of the Multiplicity
- Sharp Effective Nullstellensatz
- Sharp van der Corput estimates and minimal divided differences
- ŁOJASIEWICZ INEQUALITY FOR POLYNOMIAL FUNCTIONS ON NON-COMPACT DOMAINS
- Explicit bounds for the Łojasiewicz exponent in the gradient inequality for polynomials
- Sur le problème de la division
- An effective Łojasiewicz inequality for real polynomials
- Metric inequality, subdifferential calculus and applications
- Atypical values at infinity of a polynomial function on the real plane: An erratum, and an algorithmic criterion
- Łojasiewicz inequality at infinity for polynomials in two real variables
