About
Contact & Profiles
A5068668112
Research Areas
- Advanced Mathematical Modeling in Engineering
- Nonlinear Partial Differential Equations
- Advanced Harmonic Analysis Research
- Numerical methods in inverse problems
Pontificia Universidad Católica de Chile
2018-2019
10.1007/s00526-019-1640-y
article
EN
Calculus of Variations and Partial Differential Equations
2019-11-16
A special type of Gagliardo-Nirenberg-Sobolev (GNS) inequalities in $\mathbb{R}^d$ has played a key role several proofs Lieb-Thirring inequalities. Recently, need for GNS convex domains $\mathbb{R}^d$, particular cubes, arised. The purpose this manuscript is two-fold. First we prove inequality domains, with explicit constants which depend on the geometry domain. Later, using discrete version Rumin's method, cubes improved constants.
10.4310/mrl.2019.v26.n5.a3
article
EN
Mathematical Research Letters
2019-01-01
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