Complete classification of ground state solutions with different Morse index for critical fractional Laplacian system
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6862
Abstract: In this paper, we first obtain the existence of positive ground state solutions for the following critical fractional Laplacian system: (−Δ)su=μ1|u|2s∗−2u+αγ2s∗|u|α−2u|v|βinℝn,(−Δ)sv=μ2|v|2s∗−2v+βγ2s∗|u|α|v|β−2vinℝn, then we give a complete classification of positive ground state solutions with different Morse… read more here.
Keywords: ground state; morse index; state solutions; ground ... See more keywords
Morse index of multiplicity one min-max minimal hypersurfaces
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DOI: 10.1016/j.aim.2020.107527
Abstract: Abstract In this paper, we prove that the Morse index of a multiplicity one, smooth, min-max minimal hypersurface is generically equal to the dimension of the homology class detected by the families used in the… read more here.
Keywords: min max; max minimal; multiplicity one; morse index ... See more keywords