In this article, we examine the H & ouml;lder regularity of solutions to equations involving a mixed local-nonlocal nonlinear nonhomogeneous operator-Delta(p)+(-Delta)(s)(q) with singular data, under the minimal assumption that p > sq. The regularity result is twofold: we establish interior gradient H & ouml;lder regularity for locally bounded data and boundary regularity for singular data. We prove both boundary H & ouml;lder and boundary gradient H & ouml;lder regularity depending on the degree of singularity. Additionally, we establish a strong comparison principle for this class of problems, which holds independent significance. As the applications of these qualitative results, we further study sublinear and subcritical perturbations of singular nonlinearity.
The current study investigated the relationship between students’ perceived teacher–student relationship (SPTSR) and their performance in English via multiple mediation effects of resilience and autonomous learning in the Chinese English as a foreign language (EFL) context. The participants were 15,184 eighth-graders from China. Results of the multilevel mediation model revealed that after controlling for students’ gender, socioeconomic status (SES), and school type, the positive association between SPTSR and students’ academic outcomes in English was partially and serially mediated by the resilience and autonomous learning. The current study sheds new light on the crucial mediating roles of resilience and autonomous learning in improving EFL learners’ English proficiency. We recommend that English language teachers establish a friendly and equal classroom climate, which may enhance students’ resilience to cope with learning setbacks. Such positive beliefs help stimulate students’ autonomy in English language learning, which in turn promotes performance in learning English.
AI agents, such as service robots, could encompass gender cues. However, little is known regarding whether and how customers apply gender stereotyping to service failures in gendered service tasks performed by robots. Drawing on gender stereotype theory, we investigate the joint effects of robot gender (feminine vs. masculine) and task type (female-dominated vs. male-dominated) on customer dissatisfaction following service failures. Study 1 reveals that feminine service robots are perceived as more communal but as equally agentic as their masculine counterparts. Study 2 demonstrates that feminine (vs. masculine) service robots generate lower customer dissatisfaction when failing a female-dominated task. However, this discrepancy diminishes when failures occur in a male-dominated task. Perceived communion and tolerance serially mediate such robot gender effects. Our findings suggest that using feminine robots across all service categories may be a cost-effective strategy for hospitality organizations, eliminating the need to vary robot gender by task type.
Based on policy instrument theory and human capital theory, this paper systematically examines the impact mechanism of science and technology finance policy instruments on regional technological innovation using panel data from Chinese prefecture-level cities from 2008 to 2023, employing a multi-period Difference-in-Differences (DID) model. The empirical results show that: firstly, science and technology finance policies significantly enhance regional technological investment levels; secondly, human capital plays a partially mediating role between policies and technological innovation; thirdly, policy effects exhibit significant regional heterogeneity, with the most pronounced impact observed in the western region due to its low base of technological investment and strong resource scarcity.
Children's healthy dietary behaviors have long been a concern in the hospitality industry, yet most initiatives target parents or caregivers rather than treating children as independent consumers. As children gain greater influence in family decision-making, disregarding their agency risks misaligning industry practices with their actual behaviors. Grounded in the consumer socialization framework, this study created a natural dining environment granting children full autonomy to make food choices. Using a mixed-methods convergent parallel design, findings show that age does not necessarily enhance children's knowledge or perceived importance of healthy food. Instead, parents, schools, and media play pivotal roles, with family communication patterns exerting distinct effects. A cognitive-behavioral discontinuity also emerged: greater knowledge and perceived importance did not translate into healthier eating-out behaviors. These results caution against overestimating children's consumer socialization based on cognitive outcomes alone, underscoring the need for more careful interpretation of their decision-making rationales in restaurant contexts.
