Benjin Xuan

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The continuous measurement of cardiac output by the thermodilution technique is invasive, impractical and unpleasant for the patient. This paper describes the measurement of aortic blood flow with a specially designed intraesophageal echo Doppler probe. An A-scan unit allows the measurement of the diameter of the thoracic aorta and a continuous wave Doppler(More)
In this paper, we study the existence of multiple solutions to a Caffarelli-Kohn-Nirenberg type equation with asymptotically linear term at infinity. In this case, the well-known Ambrosetti-Rabinowtz type condition doesn't hold, hence it is difficult to verify the classical (PS) c condition. To overcome this difficulty, we use an equivalent version of(More)
In this paper, using Mountain Pass Lemma and Linking Argument, we prove the existence of nontrivial weak solutions for the Dirichlet problem for the superlinear equation of Caffarelli-Kohn-Nirenberg type in the case where the parameter λ ∈ (0, λ 2), λ 2 is the second positive eigenvalue of the quasilinear elliptic equation of Caffarelli-Kohn-Nirenberg type.
This case report demonstrates the value of transoesophageal echocardiography (TOE) in comparison with transthoracic echocardiography as it allows a better view of the thoracic aorta, the auricles, the interauricular septum and the cardiac valves, especially in the intubated and ventilated patients. A 84-year-old woman was admitted to the ICU for hypoxia(More)
In this paper, we study the asymptotic behavior of radial extremal functions to an inequality involving Hardy potential and critical Sobolev exponent. Based on the asymptotic behavior at the origin and the infinity, we shall deduce a strict inequality between two best constants. Finally, as an application of this strict inequality, we consider the existence(More)
In this paper, we consider the existence and non-existence of non-trivial solution to a Brezis-Nirenberg type problem with singular weights. First, we obtain a compact imbedding theorem which is an extension of the classical Rellich-Kondrachov compact imbedding theorem, and consider the corresponding eigenvalue problem. Secondly, we deduce a Pohozaev type(More)
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