Gradient estimates and blow-up analysis for stationary harmonic maps

For stationary harmonic maps between Riemannian manifolds, we provide a necessary and sufficient condition for the uniform interior and boundary gradient estimates in terms of the total energy of maps. We also show that if analytic target manifolds do not carry any harmonic S^2, then the singular sets of stationary maps are m \leq n - 4 rectifiable. Both of these results follow from a general analysis on the defect measures and energy concentration sets associated with a weakly converging sequence of stationary harmonic maps.Comment: 45 pages, published versio

Economic valuation of development projects : a case study of a non-motorized transport project in India

One of the major difficulties in doing cost-benefit analysis of a development project is to estimate the total economic value of project benefits, which are usually multi-dimensional andinclude goods and services that are not traded in the market. Challenges also arise in aggregating the values of different benefits, which may not be mutually exclusive. This paper uses a contingent valuation approach to estimate the economic value of a non-motorized transport project in Pune, India, across beneficiaries. The heads of households which are potentially affected by the project are presented with a detailed description of the project, and then are asked to vote on whether such a project should be undertaken given different specifications of costs to the households. The total value of the project is then derived from the survey answers. Econometric analysis indicates that the survey responses provide generally reasonable valuation estimates.Transport Economics Policy&Planning,Environmental Economics&Policies,Roads&Highways,Housing&Human Habitats,Economic Theory&Research

Dental Patient-Reported Outcomes Update 2023

The emergence and rapid development of disruptive innovations are quickly turning our profession into personalized dentistry, built upon evidence-based, data-oriented, and patient-centered research. In order to help improve the quality and quantity of patient-centered evidence in dentistry, further promote the wide and standard use of dental patient-reported outcomes (dPROs) and dental patient-reported outcome measures (dPROMs), the Journal of Evidence-Based Dental Practice has put together this special issue, the third of a series entitled Dental Patient-Reported Outcomes Update.A total of seven solicited articles are collected in this issue. To put them into a broader perspective, this review provides a concise summary of key, selected PRO and dPRO articles published during 2023. A brief introduction to those articles included in this Special Issue follows. Four main domains are covered in this Special Issue: (i) dPROs and digital dentistry, (ii) standardization of dPRO-related methodology, (iii) current usage of dPROs and dPROMs in published research, and (iv) the significance and relevance of dPRO usage