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On blow up for the energy super critical defocusing nonlinear Schrödinger equations
AbstractWe consider the energy supercritical defocusing nonlinear Schrödinger equation $$\begin{aligned} i\partial...
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Nondegeneracy of nodal solutions to the critical Yamabe problem
Monica Musso, Juncheng Wei
Dec 01, 2015
We prove the existence of a sequence of nondegenerate, in the sense of
Duyckaerts–Kenig–Merle [9], nodal nonradial solutions to the critical Yamabe problem−Q = |Q| 2n−2 Q, Q ∈ D1,2(Rn).
This is the first example in the...
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Nondegeneracy of nodal solutions to the critical Yamabe problem
Monica Musso, Juncheng Wei
Dec 01, 2015
We prove the existence of a sequence of nondegenerate, in the sense of
Duyckaerts–Kenig–Merle [9], nodal nonradial solutions to the critical Yamabe problem−Q = |Q| 2n−2 Q, Q ∈ D1,2(Rn).
This is the first example in the...
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Dearomatized BIAN alkaline-earth alkyl catalysts for the intramolecular hydroamination of hindered aminoalkenes

Reaction of a sterically encumbered bis(imino)acenapthene (dipp-BIAN) with either potassium alkyl or the heavier alkaline-earth dialkyl [Ae{CH(SiMe3)2}2(THF)2] (Ae = Mg, Ca, Sr)...

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Dearomatized BIAN alkaline-earth alkyl catalysts for the intramolecular hydroamination of hindered aminoalkenes

Reaction of a sterically encumbered bis(imino)acenapthene (dipp-BIAN) with either potassium alkyl or the heavier alkaline-earth dialkyl [Ae{CH(SiMe3)2}2(THF)2] (Ae = Mg, Ca, Sr)...

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Group 2 Catalysis for the atom-efficient synthesis of imidazolidine and thiazolidine derivatives

A wide variety of functionalised imidazolidine-2-ones and -thiones, 2-imino-imidazolidines and thiazolidine-2-thiones have been synthesised under very mild reaction conditions by using simple and cost-effective alkaline earth...

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Alkaline earth catalysis for the 100% atom-efficient three component assembly of imidazolidin-2-ones

A variety of functionalised imidazolidin-2-ones may be synthesised under very mild reaction conditions using non-toxic and cost-effective alkaline earth bis(amide) pre-catalysts in a 100% atom-efficient, intermolecular...

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Group 2 Catalysis for the atom-efficient synthesis of imidazolidine and thiazolidine derivatives

A wide variety of functionalised imidazolidine-2-ones and -thiones, 2-imino-imidazolidines and thiazolidine-2-thiones have been synthesised under very mild reaction conditions by using simple and cost-effective alkaline earth...

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Alkaline earth catalysis for the 100% atom-efficient three component assembly of imidazolidin-2-ones

A variety of functionalised imidazolidin-2-ones may be synthesised under very mild reaction conditions using non-toxic and cost-effective alkaline earth bis(amide) pre-catalysts in a 100% atom-efficient, intermolecular...

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Desingularization of Clifford torus and nonradial solutions to the Yamabe problem with maximal rank

Through desingularization of Clifford torus, we prove the existence of a sequence of nondegenerate (in the sense of Duyckaerts–Kenig–Merle ([8])) nodal nonradial solutions to the critical Yamabe problem −Δu=[Formula...

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Desingularization of Clifford torus and nonradial solutions to the Yamabe problem with maximal rank

Through desingularization of Clifford torus, we prove the existence of a sequence of nondegenerate (in the sense of Duyckaerts–Kenig–Merle ([8])) nodal nonradial solutions to the critical Yamabe problem −Δu=[Formula...

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Attenuated organo-magnesium activation of white phosphorus
Sequential reactions between a 2,6-di-iso-propylphenyl-substiuted -diketiminato magnesium n-butyl derivative and P4¬ allow the highly discriminating synthesis of unusual [nBu2P4]2 and [nBu2P8]2 cluster dianions.
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Attenuated organo-magnesium activation of white phosphorus
Sequential reactions between a 2,6-di-iso-propylphenyl-substiuted -diketiminato magnesium n-butyl derivative and P4¬ allow the highly discriminating synthesis of unusual [nBu2P4]2 and [nBu2P8]2 cluster dianions.
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Proximal femoral canal shape is more accurately assessed on AP hip radiographs than AP pelvis radiographs in primary hip osteoarthritis
The objectives of the present study were to determine (1) whether differences in the radiographic appearance of the of the proximal femoral canal exist on corresponding AP pelvis and AP hip radiographs, and (2) whether...
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Proximal femoral canal shape is more accurately assessed on AP hip radiographs than AP pelvis radiographs in primary hip osteoarthritis
The objectives of the present study were to determine (1) whether differences in the radiographic appearance of the of the proximal femoral canal exist on corresponding AP pelvis and AP hip radiographs, and (2) whether...
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Prediction of three-dimensional femoral offset from AP pelvis radiographs in primary hip osteoarthritis
BACKGROUND: In pre-operative planning for total hip arthroplasty (THA), femoral offset (FO) is frequently underestimated on AP pelvis radiographs as a result of inaccurate patient positioning, imprecise magnification, and...
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Are there clinically relevant anatomical differences of the proximal femur in patients with mild dysplastic and primary hip osteoarthritis? A CT-based matched-pairs cohort study

AIM: To investigate the three-dimensional anatomy and shape of the proximal femur, comparing patients with secondary osteoarthritis (OA) due to mild developmental dysplasia of the hip (DDH) and primary hip OA. MATERIALS AND...

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Comparison of native anatomy with recommended safe component orientation in total hip arthroplasty for primary osteoarthritis
The adverse consequences of impingement, dislocation, and implant wear have stimulated increasing interest in accurate component orientation in total hip arthroplasty and hip resurfacing. The aims of the present study were to...
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