Vanishing Theorems for p-Harmonic Forms on Submanifolds in Spheres

In this paper,we present some vanishing theorems for p-harmonic forms on-super stable complete submanifold M immersed in sphere Sn+m.When 2≤1≤n-2,M has a flat normal bundle.Assuming that M is a minimal submanifold andδ>1(n-1)p2/4n[p-1+(p-1)2kp],we prove a vanishing theorem for p-harmonicℓ-forms.

Vanishing bone disease(Gorham-Stout syndrome): A review of a rare entity

Vanishing bone disease(Gorham-Stout syndrome) is a rare entity of unknown etiology, characterized by de struction of osseous matrix and proliferation of vascula structures, resulting in destruction and absorption o bone. Despite the extensive investigation of the patho genetic mechanisms of the disease, its etiology hasn'been clarified and several theories exist. The syndrome can affect one or multiple bones of the patient, includ ing the skull, the upper and lower extremities, the spine and pelvis. The clinical presentation of a patient suffer ing from vanishing bone disease includes, pain, func tional impairment and swelling of the affected region although asymptomatic cases have been reported, as well as cases in which the diagnosis was made after a pathologic fracture. In this short review we summarize the theories regarding the etiology as well as the clini cal presentation, the diagnostic approach and treat ment options of this rare disease.

Vanishing bile duct syndrome in human immunodeficiency virus infected adults:A report of two cases

Vanishing bile duct syndrome(VBDS) is a group of rare disorders characterized by ductopenia,the progressive destruction and disappearance of intrahepatic bile ducts leading to cholestasis.Described in association with medications,autoimmune disorders,cancer,transplantation,and infections,the specific mechanisms of disease are not known.To date,only 4 cases of VBDS have been reported in human immunodeficiency virus(HIV) infected patients.We report 2 additional cases of HIV-associated VBDS and review the features common to the HIV-associated cases.Presentation includes hyperbilirubinemia,normal liver imaging,and negative viral and autoimmune hepatitis studies.In HIV-infected subjects,VBDS occurred at a range of CD4+ T-cell counts,in some cases following initiation or change in antiretroviral therapy.Lymphoma was associated with two cases;nevirapine,antibiotics,and viral co-infection were suggested as etiologies in the other cases.In HIV-positive patients with progressive cholestasis,early identification of VBDS and referral for transplantation may improve outcomes.

VANISHING VISCOSITY FOR NON-ISENTROPIC GAS DYNAMICS WITH INTERACTING SHOCKS

In this paper, we study the vanishing viscosity limit for non-isentropic gas dy- namics with interacting shocks. Given any entropy solution of non-isentropic gas dynamics which consists of two different families of shocks interacting at some positive time, we show that such solution is the vanishing viscosity limit of a family of smooth global solutions for a viscous system of conservation law. We remark that, after the interacting time, not only shocks but also contact discontinuity are generated.

Vanishing bile duct syndrome in human immunodeficiency virus: Nevirapine hepatotoxicity revisited

Vanishing bile duct syndrome (VBDS) refers to a group of disorders characterized by prolonged cholestasis as a result of destruction and disappearance ofintrahepatic bile ducts. Multiple etiologies have been indentifi ed including infections, neoplastic disorders, autoimmune conditions and drugs. The natural history of this condition is variable and may involve resolution of cholestasis or progression with irreversible damage. VBDS is extremely rare in human immunodeficiency virus (HIV)-infected patients and anti-retroviral therapy has never been implicated as a cause. We encountered a young pregnant female with HIV and VBDS secondary to anti-retroviral therapy. Here, we report her clinical course and outcome.

POINTWISE CONVERGENCE RATE OF VANISHING VISCOSITY APPROXIMATIONS FOR SCALAR CONSERVATION LAWS WITH BOUNDARY

This article is concerned with the pointwise error estimates for vanishing vis- cosity approximations to scalar convex conservation laws with boundary.By the weighted error function and a bootstrap extrapolation technique introduced by Tadmor-Tang,an optimal pointwise convergence rate is derived for the vanishing viscosity approximations to the initial-boundary value problem for scalar convex conservation laws,whose weak entropy solution is piecewise C 2 -smooth with interaction of elementary waves and the ...

Ursodeoxycholic acid treatment of vanishing bile duct syndromes

Vanishing bile duct syndromes （VBDS） are characterized by progressive loss of small intrahepatic ducts caused by a variety of different diseases leading to chronic cholestasis, cirrhosis, and premature death from liver failure. The majority of adult patients with VBDS suffer from primary biliary cirrhosis （PBC） and primary sclerosing cholangitis （PSC）. Ursodeoxycholic acid （UDCA）, a hydrophilic dihydroxy bile acid, is the only drug currently approved for the treatment of patients with PBC, and anticholestatic effects have been reported for several other cholestatic syndromes. Several potential mechanisms of action of UDCA have been proposed including stimulation of hepatobiliary secretion, inhibition of apoptosis and protection of cholangiocytes against toxic effects of hydrophobic bile acids.

Vanishing bile duct and Stevens-Johnson syndrome associated with ciprofloxacin treated with tacrolimus

Stevens-Johnson syndrome (SJS) is a serious and potentially life-threatening disease. Vanishing bile duct syndrome (VBDS) is a rare cause of progressive cholestasis. Both syndromes are mostly related with drugs. We report a case of a patient with ciprofloxacin-induced SJS and acute onset of VBDS, and reviewed the related literature. It is the fi rst case of ciprofloxacin-induced VBDS successfully treated with tacrolimus. This case reminds physicians of the importance of drug reactions, their severity, techniques for diagnosis and methods of management.

Vanishing bile duct syndrome in Hodgkin's lymphoma: A case report and literature review

Vanishing bile duct syndrome (VBDS) has been described in different pathologic conditions including infection, ischemia, adverse drug reactions, autoimmune diseases, allograft rejection, and humoral factors associated with malignancy. It is an acquired condition characterized by progressive destruction and loss of the intra-hepatic bile ducts leading to cholestasis. Prognosis is variable and partially dependent upon the etiology of bile duct injury. Irreversible bile duct loss leads to significant ductopenia, biliary cirrhosis, liver failure, and death. If biliary epithelial regeneration occurs, clinical recovery may occur over a period of months to years. VBDS has been described in a number of cases of patients with Hodgkin’s lymphoma (HL) where it is thought to be a paraneoplastic phenomenon. This case describes a 25-year-old man found on liver biopsy to have VBDS. Given poor response to medical treatment, the patient underwent transplant evaluation at that time and was found to have classical stage IIB HL. Early recognition of this underlying cause or association of VBDS, including laboratory screening, and physical exam for lymphadenopathy are paramount to identifying potential underlying VBDS-associated malignancy. Here we review the literature of HL-associated VBDS and report a case of diagnosed HL with biopsy proven VBDS.

Mitochondrial malfunction in vanishing white matter disease： a disease of the cytosolic translation machinery

Vanishing white matter （VWM） disease - a disease of the cytosolic translation machinery： VWM is a recessive genet- ic neurodegenerative disease caused by mutations in any of the five genes encoding the subunits of translation initiation factor 2B （eIF2B） （Leegwater et al., 2001; OMIM 306896）.

Cecal vanishing tumor associated with cytomegalovirus infection in an immunocompetent elderly adult

Gastrointestinal involvement in cytomegalovirus (CMV) infection is well documented among immunocompromised patients and is also observed in immunocompetent individuals. The presentation of this infection can sometimes mimic those of other diseases, thus making accurate diagnosis difficult. We herein report a rare case of an immunocompetent elderly adult with gastrointestinal CMV infection that presented as a vanishing tumor at the cecum. A 76-year old man initially presented with lower abdominal pain. Colonoscopy revealed a tumorous lesion with irregular ulceration observed at the ileocecal valve. Histological findings of a biopsy specimen revealed intranuclear inclusions which were positive for CMV on immunohistochemical staining. However, this tumorous lesion disappeared within 7 wk from the initialhospital visit without any further treatment. Inflammatory pseudotumors associated with CMV infection should be considered as a differential diagnosis of tumorous lesions in the colon, even in immunocompetent adults.

Differential diagnosis of a vanishing brain space occupying lesion in a child

We describe clinical, diagnostic features and follow up of a patient with a vanishing brain lesion. A 14-yearold child admitted to the department of Neurology at September 2009 with a history of subacute onset of fever, anorexia, vomiting, blurring of vision and right hemiparesis since one month. Magnetic resonance imaging(MRI) of the brain revealed presence of intraaxial large mass(25 mm × 19 mm) in the left temporal lobe and the brainstem which showed hypointense signal in T1 W and hyperintense signals in T2 W and fluid attenuated inversion recovery(FLAIR) images and homogenously enhanced with gadolinium(Gd). It was surrounded by vasogenic edema with mass effect. Intravenous antibiotics, mannitol(2 g/12 h per 2 d) and dexamethasone(8 mg/12 h) were given to relief manifestations of increased intracranial pressure. Whole craniospinal radiotherapy(brain = 4000 CGy/20 settings per 4 wk; Spinal = 2600/13 settings per 3 wk) was given based on the high suspicion of neoplastic lesion(lymphoma or glioma). Marked clinical improvement(up to complete recovery) occurred within 15 d. Tapering of the steroid dose was done over the next 4 mo. Follow up with MRI after 3 mo showed small lesion in the left antero-medial temporal region with hypointense signal in T1 W and hyperintense signals in T2 W and FLAIR images but did not enhance with Gd. At August 2012, the patient developed recurrent generalized epilepsy. His electroencephalography showed the presence of left temporal focus of epileptic activity. MRI showed the same lesion as described in the follow up. The diffusion weighted images were normal. The seizures frequency was decreased with carbamazepine therapy(300 mg/12 h). At October 2014, single voxel proton(1H) MR spectroscopy(MRS) showedreduced N-acetyl-aspartate(NAA)/creatine(Cr), choline(Cho)/Cr, NAA/Cho ratios consistent with absence of a neoplasm and highly suggested presence of gliosis. A solitary brain mass in a child poses a considerable diagnostic difficulty. MRS provided valuable diagnostic differentiation between tumor and pseudotumor lesions.

THE CHARACTERIZATION OF EFFICIENCY AND SADDLE POINT CRITERIA FOR MULTIOBJECTIVE OPTIMIZATION PROBLEM WITH VANISHING CONSTRAINTS

In this article, we focus to study about modified objective function approach for multiobjective optimization problem with vanishing constraints. An equivalent η-approximated multiobjective optimization problem is constructed by a modification of the objective function in the original considered optimization problem. Furthermore, we discuss saddle point criteria for the aforesaid problem. Moreover, we present some examples to verify the established results.

CONSTRUCTION OF WAVELET BASES WITH VANISHING MOVEMENT

A kind of mother wavelet with good properties is constructed for any N greater than or equal to 2, which is differentiable for N times, converges to Zero at the order of O( I t I-N)( t --> infinity) and has N - 2 order of vanishing movement and some property of symmetry meanwhile. A computation example for N = 4 is also given.

BOUNDARY LAYER AND VANISHING DIFFUSION LIMIT FOR NONLINEAR EVOLUTION EQUATIONS

In this paper, we consider an initial-boundary value problem for some nonlinear evolution equations with damping and diffusion. The main purpose is to investigate the boundary layer effect and the convergence rates as the diffusion parameter α goes to zero.

Estimation of Derivatives for Bounded Regular Vanishing Functions

In this paper, we mainly discuss the problem of estimating the n-th derivative for bounded regular vanishing functions. The estimation of the n-th derivative for the function is deduced by the 1-th and 2-th derivative.

Review of Obstetrics and Perinatal Outcome of Multiple Pregnancies with Vanishing and Selective Embryo Reduction in an Oocyte Donation Program

To check previous findings of the most common complications among pregnancies with vanishing embryo（VE） in another actual study retropective and in group of patiens with selective embryo reduction （SER） Methods We defined vanishing phenomenon as the spontaneous loss of one or more embryos after visualizing heart activity at the first trimester of pregnancy. Selective embryo reduction was performed between 8th-12th pregnancy week, through vaginal punction and aspiration of embryonic mass. Results Vanishing embryo was observed in 86 patients （18.0%）. In 61 patients （70.9%） this phenomenom happened before 9th pregnancy week. The incidence of VE increased with higher number of gestational sacs initially visualized （P〈0.03）. First trimester bleeding was more common among pregnancies with VE than in the control （P〈0.005）. The incidence of pregnancy induced hypertension was lower in pregnancies with VE than in the controls （P〈0.03）. In contrast, preterm spontaneous rupture of membranes was higher, although without statistical significance. Gestational age at delivery, mode of delivery and birth weight was similar in the group of VE and the controls （P=NS）. Conclusion All these informations may be useful in counselling patients on the prognosis and outcome of pregnancies achieved by oocyte donation.

Forgery Detection Using Inconsistent Reflection Vanishing Point

The rapid development of image processing techniques has made it extremely easy to alter the content of images or create newimages.So photographs,which appear in magazines,social media,and political attacks,can no longer be trusted.A novel and effective technique is proposed in this paper to expose image forgery using inconsistent reflection vanishing point(RVP).More specifically,the definition of error distance is given,sin^2()-based function is proposed to normalize error distance,and a reasonable threshold value is set to detect image forgery.The experimental data and results are presented to demonstrate the accuracy and effectiveness of the technique.

Cordial Volterra Integral Equations with Vanishing Delays

Cordial Volterra integral equations (CVIEs) from some applications models associated with a noncompact cordial Volterra integral operator are discussed in the recent years. A lot of real problems are effected by a delayed history information. In this paper we investigate some properties of cordial Volterra integral operators influenced by a vanishing delay. It is shown that to replicate all eigenfunctions , or , the vanishing delay must be a proportional delay. For such a linear delay, the spectrum, eigenvalues and eigenfunctions of the operators and the existence, uniqueness and solution spaces of solutions are presented. For a nonlinear vanishing delay, we show a necessary and sufficient condition such that the operator is compact, which also yields the existence and uniqueness of solutions to CVIEs with the vanishing delay.

Existence Result for Fractional Klein-Gordon-Maxwell System with Quasicritical Potential Vanishing at Infinity

The following fractional Klein-Gordon-Maxwell system is studied (-Δ)p stands for the fractional Laplacian, ω > 0 is a constant, V is vanishing potential and K is a smooth function. Under some suitable conditions on K and f, we obtain a Palais-Smale sequence by using a weaker Ambrosetti-Rabinowitz condition and prove the ground state solution for this system by employing variational methods. In particular, this kind of problem is a vast range of applications and challenges.