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Symmetry and symmetry breaking for minimizers in the trace inequality
(World Scientific, 2011-11)
We consider symmetry properties of minimizers in the variational characterization of the best constant in the trace inequality C∥u∥^p_L^q(∂B_ρ) ≤∥u∥^p_W1,p(Bρ) in the ball Bρ of radius ρ. When p is fixed minimizers in this ...
Symmetry breaking for an elliptic equation involving the fractional Laplacian.
(Khayyam Publishing, Inc., 2018-08)
We study the symmetry breaking phenomenon for an elliptic equation involving the fractional Laplacian in a large ball. Our main tool is an extension of the Strauss radial lemma involving the fractional Laplacian, which ...
Set of bilateral and radial symmetry shape descriptor based on contour information
(Institution of Engineering and Technology, 2017-04)
Form and shape descriptors are among the most useful features for object identification and recognition. Even though there exists a widely used set of shape descriptors and underlying computational methods for their ...
Phase transitions and symmetry energy in nuclear pasta
(Elsevier Science, 2018-07)
Cold and isospin-symmetric nuclear matter at sub-saturation densities is known to form the so-called pasta structures, which, in turn, are known to undergo peculiar phase transitions. Here we investigate if such pastas and ...
Radial symmetry of positive solutions to equations involving the fractional laplacianCOMMUNICATIONS IN CONTEMPORARY MATHEMATICSCOMM CONTEMP MATH
(WORLD SCIENTIFIC PUBLI CO PTE LTD., 2016)
Symmetry properties for the extremals of the Sobolev trace embedding
(Gauthier-Villars/Editions Elsevier, 2004-11)
In this article we study symmetry properties of the extremals for the Sobolev trace embedding H1(B(0, µ)) ,→ Lq(∂B(0, µ)) with 1 ≤ q ≤2(N − 1)/(N − 2) for different values of µ. These extremals u are solutions of the problem ...
More about thin-shell wormholes associated to cosmic strings
(American Physical Society, 2009-06)
Previous analysis about thin-shell wormholes associated to cosmic strings are extended. More evidence is found supporting the conjecture that, under reasonable assumptions about the equations of state of matter on the ...