Radial symmetry and symmetry breaking for some interpolation inequalities [PDF]
We analyze the radial symmetry of extremals for a class of interpolation inequalities known as Caffarelli-Kohn-Nirenberg inequalities, and for a class of weighted logarithmic Hardy inequalities which appear as limiting cases of the first ones. In both classes we show that there exists a continuous surface that splits the set of admissible parameters ...
Dolbeault, J +3 more
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On the asymptotic behavior and radial symmetry of positive solutions of semilinear elliptic equations in R n II. Radial symmetry [PDF]
[For part I see the preceding entry.] In that paper the authors use sharp asymptotic behavior estimates and the ``moving plane'' technique in order to prove the symmetry of the solutions of a large class of semilinear equations in \(\mathbb{R}^ n\).
Li, Yi, Ni, Wei-Ming
core +8 more sources
Fast Radial and Bilateral Symmetry Detection Using Inverted Gradient Hash Maps
This paper presents a fast and novel algorithm for both radial and bilateral symmetry detection based on inverted gradient hash maps (IGHMs). A hash map is an associative array that stores image gradient magnitudes and orientations in the form of an ...
R. Gonzalez, L. Lincoln
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Radial or Bilateral? The Molecular Basis of Floral Symmetry [PDF]
In the plant kingdom, the flower is one of the most relevant evolutionary novelties. Floral symmetry has evolved multiple times from the ancestral condition of radial to bilateral symmetry. During evolution, several transcription factors have been recruited by the different developmental pathways in relation to the increase of plant complexity. The MYB
Francesca Lucibelli +2 more
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Stability of radial symmetry for a Monge-Ampère overdetermined problem [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
BRANDOLINI, BARBARA +3 more
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Energy Decay in Thermoelastic Bodies with Radial Symmetry [PDF]
AbstractIn this paper, we consider the energy decay of some problems involving domains with radial symmetry. Three different settings are studied: a strong porous dissipation and heat conduction, a weak porous dissipation and heat conduction and poro-thermoelasticity with microtemperatures.
Noelia Bazarra +2 more
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A logarithmic uncertainty principle for functions with radial symmetry
AbstractIn this paper, we prove a new uncertainty principle for functions with radial symmetry by differentiating a radial version of the Stein–Weiss inequality. The difficulty is to prove the differentiability in the limit of the best constant that unlike the general case it is not known.
Jacopo Bellazzini, Matteo Nesi
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Nonexistence and Radial Symmetry of Positive Solutions of Semilinear Elliptic Systems [PDF]
Nonexistence and radial symmetry of positive solutions for a class of semilinear elliptic systems are considered via the method of moving spheres.
Zhengce Zhang, Liping Zhu
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Eulerian Dynamics in Multidimensions with Radial Symmetry [PDF]
We study the global wellposedness of pressure-less Eulerian dynamics in multi-dimensions, with radially symmetric data. Compared with the 1D system, a major difference in multi-dimensional Eulerian dynamics is the presence of the spectral gap, which is difficult to control in general.
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Qualitative Numerical Analysis of a Free-Boundary Diffusive Logistic Model
A two-dimensional free-boundary diffusive logistic model with radial symmetry is considered. This model is used in various fields to describe the dynamics of spreading in different media: fire propagation, spreading of population or biological invasions.
María Consuelo Casabán +3 more
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