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Radial symmetry and symmetry breaking for some interpolation inequalities
Sobolev spaces interpolation Hardy-Sobolev inequality
2010/12/3
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 ...
COMPUTATION OF HOPF BRANCHES BIFURCATING FROM A HOPF/PITCHFORK POINT FORPROBLEMS WITH $Z_2-$SYMMETRY
Hopf/pitchfork point $Z_2$-symmetry Hopf point bifurcation Extended system
2007/12/12
This paper is concerned with the computation of Hopf branches emanating
from a Hopf/Pitchfork point in a two-parameter nonlinear problem
satisfying a $Z_2$-symmetry condition. Our aim is to presen...