Search results for "35"
showing 10 items of 2413 documents
Nonlinear Liouville Problems in a Quarter Plane
2016
We answer affirmatively the open problem proposed by Cabr\'e and Tan in their paper "Positive solutions of nonlinear problems involving the square root of the Laplacian" (see Adv. Math. {\bf 224} (2010), no. 5, 2052-2093).
Asymptotic Lipschitz regularity for tug-of-war games with varying probabilities
2018
We prove an asymptotic Lipschitz estimate for value functions of tug-of-war games with varying probabilities defined in $\Omega\subset \mathbb R^n$. The method of the proof is based on a game-theoretic idea to estimate the value of a related game defined in $\Omega\times \Omega$ via couplings.
Refined instability estimates for some inverse problems
2022
Many inverse problems are known to be ill-posed. The ill-posedness can be manifested by an instability estimate of exponential type, first derived by Mandache [29]. In this work, based on Mandache's idea, we refine the instability estimates for two inverse problems, including the inverse inclusion problem and the inverse scattering problem. Our aim is to derive explicitly the dependence of the instability estimates on key parameters. The first result of this work is to show how the instability depends on the depth of the hidden inclusion and the conductivity of the background medium. This work can be regarded as a counterpart of the depth-dependent and conductivity-dependent stability estim…
Spectral multipliers and wave equation for sub-Laplacians: lower regularity bounds of Euclidean type
2018
Let $\mathscr{L}$ be a smooth second-order real differential operator in divergence form on a manifold of dimension $n$. Under a bracket-generating condition, we show that the ranges of validity of spectral multiplier estimates of Mihlin--H\"ormander type and wave propagator estimates of Miyachi--Peral type for $\mathscr{L}$ cannot be wider than the corresponding ranges for the Laplace operator on $\mathbb{R}^n$. The result applies to all sub-Laplacians on Carnot groups and more general sub-Riemannian manifolds, without restrictions on the step. The proof hinges on a Fourier integral representation for the wave propagator associated with $\mathscr{L}$ and nondegeneracy properties of the sub…
Oncogenic BRAF and p53 Interplay in Melanoma Cells and the Effects of the HDAC Inhibitor ITF2357 (Givinostat)
2023
Oncogenic BRAF mutations have been widely described in melanomas and promote tumour progression and chemoresistance. We previously provided evidence that the HDAC inhibitor ITF2357 (Givinostat) targets oncogenic BRAF in SK-MEL-28 and A375 melanoma cells. Here, we show that oncogenic BRAF localises to the nucleus of these cells, and the compound decreases BRAF levels in both the nuclear and cytosolic compartments. Although mutations in the tumour suppressor p53 gene are not equally frequent in melanomas compared to BRAF, the functional impairment of the p53 pathway may also contribute to melanoma development and aggressiveness. To understand whether oncogenic BRAF and p53 may cooperate, a po…
Parenting Dimensions and Adolescent Peer Aggression: A Gendered Analysis
2020
The present study had two main goals. The first was to analyze the differences between parenting dimensions&mdash
Party autonomy regarding jurisdiction under the property regimes regulations
2021
The main accomplishment of the Property Regimes Regulations lies in their bringing more coherence into the cross-border family law adjudication. In the field of international jurisdiction, they strive to align the competence in couples? patrimony disputes to that in succession and in separation proceedings, or else to align the competence of the courts to the applicable law. These tendencies are clearly visible in the Regulations? provisions on choice of court agreements. Namely, the Regulations allow for such agreements, but severely limit parties? choice and the possible effects of these clauses. When succession or separation proceedings are pending, it is often only possible to institute…
Effects of Entrepreneurial Orientation and Passion for Work on Performance Variables in Sports Clubs
2021
Entrepreneurial orientation and passion for work have been widely studied due to their effects on the behaviour and attitude of management teams in the short- and long-term. However, despite the influences of these variables on the sustainability and survival of an entity, there is a gap when considering the effects of these two performance variables in sports organisations. Therefore, the main objectives of this study were to understand the influences of entrepreneurial orientation and passion for work on service quality and sporting performance. To this end, 199 Spanish non-profit sports clubs were analysed using instruments with good psychometric properties. Data analysis was carried out…
Rational Herding in Reward-Based Crowdfunding: An MTurk Experiment.
2020
Crowdfunding is gaining popularity as a way of financing social sustainable initiatives. We performed a controlled economic experiment in MTurk by simulating a crowdfunding platform and developed a theoretical model that rationalizes herding behavior. The experiment was designed to test and quantify the causal effects of revealing specific information to prospective backers: (i) the number of early contributors already financing the project and (ii) positive opinions of other backers versus those of experts. The results show that early contributions to the campaign and positive opinions of peers act as a reinforcing signal to potential backers and affect backers&rsquo
Coping Strategies against peer victimization: differences according to gender, grade, victimization status and perceived classroom social climate
2021
The Sustainable Development Goals (SDGs) include “Good Health and Well-being” (SDG3) and “Quality Education” (SDG4). Nevertheless, many students cannot achieve these goals if they suffer peer victimization at their schools, and intervention programs to reduce it are necessary. These programs should consider the possible differences in the coping strategies preferred by students according to some personal (e.g., gender, grade, victimization status) and contextual (e.g., perceived classroom social climate) factors to be more effective. Therefore, the objective of this study was to analyze the possible differences in the coping strategies preferred by students (ask a friend for help, ask a tea…