65,703 research outputs found
Correction to: Malignant epithelioid neoplasm of the ileum with ACTB-GLI1 fusion mimicking an adnexal mass (BMC Women's Health, (2022), 22, 1, (104), 10.1186/s12905-022-01679-0)
No full textFollowing publication of the original article (1), The author names were incorrectly published as Ambrosio Marco, Virgilio Agnese, Raffone Antonio, Arena Alessandro, Raimondo Diego, Alletto Andrea, Seracchioli Renato and Casadio Paolo. But this should have been Marco Ambrosio, Agnese Virgilio, Antonio Raffone, Alessandro Arena, Diego Raimondo, Andrea Alletto, Renato Seracchioli, and Paolo Casadio. The original article has been updated
An adaptive finite element approximation of a variational model of brittle fracture
No full textThe energy of the Francfort–Marigo model of brittle fracture can be approximated, in the sense of Gamma-convergence, by the Ambrosio–Tortorelli functional. In this work, we formulate and analyze two adaptive finite element algorithms for the computation of its (local) minimizers. For each algorithm, we combine a Newton-type method with residual-driven adaptive mesh refinement. We present two theoretical results which demonstrate convergence of our algorithms to local minimizers of the Ambrosio–Tortorelli functional
Periodic solutions for the non-local operator (−∆ + m^2)^s − m^2s with m ≥ 0
No full textBy using variational methods, we investigate the existence of T-periodic solutions to
\begin{equation*}
\left\{
\begin{array}{ll}
[(-\Delta_{x} + m^{2})^{s} -m^{2s}] u= f(x, u) &\mbox{ in } (0, T)^{N}, \\
u(x+ Te_{i})= u(x) &\mbox{ for all } x\in \mathbb{R}^{N}, i= 1, \dots, N,
\end{array}
\right.
\end{equation*}
where , , , and is a continuous function, -periodic in the first variable, verifying the Ambrosetti-Rabinowitz condition, with a polynomial growth at rate
Mononuclear cell changes in clinically asymptomatic dogs with leishmania infantum infection: preliminary report De Luna R., Ielpo M.T, Satriano S.M.R., Moscatiello V., Ambrosio R., Piantedosi D., Vuotto M.L.
No full textRetinal function in X-linked juvenile retinoschisis
No full textPURPOSE. To assess retinal function in young patients with X-linked juvenile retinoschisis (XLRS), a disorder that is known to alter ERG postreceptor retinal components and also possibly photoreceptor components. METHODS. ERG responses to full-field stimuli were recorded under scotopic and photopic conditions in 12 XLRS patients aged 1 to 15 (median 8) years. A- and b-wave amplitudes and implicit times were examined over a range of stimulus intensities. Rod and cone photoreceptor (SROD, RROD, SCONE, RCONE) and rod-driven postreceptor (log r, VMAX) response parameters were calculated from the a- and b-waves. Data from XLRS patients were evaluated for significant change with age. RESULTS. A- and b-wave amplitudes were smaller in XLRS patients compared with controls under both scotopic and photopic conditions. Saturated photoresponse amplitude (RROD), postreceptor b-wave (log r), and saturated b-wave amplitude (VMAX) were significantly lower in XLRS patients than in controls; SROD did not differ between the two groups. SCONE and RCONE values were normal. In XLRS patients, neither a- and b-wave amplitudes nor calculated parameters (SROD, RROD, log r, VMAX, SCONE, and RCONE) changed with age. CONCLUSIONS. In these young XLRS patients, RROD and a-wave amplitudes were significantly smaller than in controls. Thus, in addition to XLRS causing postreceptor dysfunction, an effect of XLRS on rod photoreceptors cannot be ignored
The nonlinear fractional relativistic Schr\"odinger equation: existence, multiplicity, decay and concentration results
No full textIn this paper we study the following class of fractional relativistic
Schr\"odinger equations: \begin{equation*} \left\{ \begin{array}{ll}
(-\Delta+m^{2})^{s}u + V(\varepsilon x) u= f(u) &\mbox{ in } \mathbb{R}^{N}, \\
u\in H^{s}(\mathbb{R}^{N}), \quad u>0 &\mbox{ in } \mathbb{R}^{N}, \end{array}
\right. \end{equation*} where is a small parameter, , , , is the fractional relativistic
Schr\"odinger operator, is a
continuous potential satisfying a local condition, and is a continuous subcritical nonlinearity. By using a variant of the
extension method and a penalization technique, we first prove that, for
small enough, the above problem admits a weak solution
which concentrates around a local minimum point of as
. We also show that has an
exponential decay at infinity by constructing a suitable comparison function
and by performing some refined estimates. Secondly, by combining the
generalized Nehari manifold method and Ljusternik-Schnirelman theory, we relate
the number of positive solutions with the topology of the set where the
potential attains its minimum value
An adaptive finite element approximation of a generalized Amrosio-Tortorelli functional
No full textThe Francfort–Marigo model of brittle fracture is posed in terms of the minimization of a highly irregular energy functional. A successful method for discretizing the model is to work with an approximation of the energy. In this work a generalized Ambrosio–Tortorelli functional is used. This leads to a bound-constrained minimization problem, which can be posed in terms of a variational inequality. We propose, analyze and implement an adaptive finite element method for computing (local) minimizers of the generalized functional
Ground state solutions for a fractional Schrödinger equation with critical growth
No full textIn this paper we investigate the existence of nontrivial ground state solutions for the following fractional scalar field equation
where , , is the fractional Laplacian, is a bounded potential satisfying suitable assumptions, and has critical growth. We first analyze the case V constant, and then we develop a Jeanjean-Tanaka argument [Indiana Univ. Math. J. 54 (2005), 443-464] to deal with the non autonomous case. As far as we know, all results presented here are new
Myxoid leiomyosarcoma of the uterus: a case report
No full textOnly 30 cases of myxoid leiomyosarcomas (MLMS) have been reported to date. The authors describe a further case in a 66-year-old woman. The main differential diagnoses include: myxoid inflammatory myofibroblastic tumours, mixoid leiomyoma, and endometrial stromal tumours. Surgery remains the appropriate treatment. However, in spite of an aggressive surgical approach and local and systemic control, recurrences and metastasis are frequent
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