Weak Solutions Of Nonlinear Elliptic Problems With Growth Up To Critical Exponents

This paper deals with the existence of minimal and maximal weak solutions between an ordered pair of (not necessarily bounded) sub- and super-solutions for semilinear elliptic equations with nonlinearities in the differential equation and on the boundary. We establish the existence result for not necessarily monotone nonlinearities. No monotonicity conditions (through one-sided Lipschitzianity, a linear shift or otherwise) are imposed on the nonlinearities. Unlike previous results in this setting, we allow the growth of the nonlinearities in the differential equation and on the boundary to go all the way to the critical Sobolev exponents in the appropriate Lebesgue spaces (in duality). Our method of proof makes use of bounded pseudomonotone coercive operators, the axiom of choice through Zorn’s lemma and a Kato’s inequality up to the boundary along with appropriate estimates

Undergraduate Engagement In Neutron Scattering As A Pathway To U.S. Competitiveness And A Diverse Scientific Workforce

Engaging undergraduate students in neutron scattering experiments through beamtime trips, student internships, or class visits is a powerful driver of scientific progress in the United States. These experiences provide hands-on exposure to advanced instrumentation, mentorship from diverse scientists, and insight into large-scale research infrastructure. By contributing meaningfully to proposal development, sample preparation, data collection, and data analysis, students develop confidence, scientific identity, and a sense of belonging, particularly those from underrepresented backgrounds. Early engagement cultivates a skilled and motivated scientific workforce, strengthens the capabilities and mission of national laboratories, and ensures continued U.S. leadership in discovery and innovation

The Political Disconnect: Working-Class And Low-Income People On What Politics Means To Them And How They Might Be Mobilized

A functioning democratic society must involve all kinds of people in deciding who will hold the power to enact laws and allocate tax dollars. However, working-class and low-income people vote at significantly lower rates than the more privileged in the US, and their participation has been declining in recent elections. In order to understand why those with fewer resources are less likely to vote and how this might change, a diverse group of researchers interviewed 232 low-income and working-class people (in every major racial group) from across Pennsylvania – 144 of whom either did not vote, or voted only occasionally. Our researchers spoke with each interviewee about their lives and communities, the issues they cared about, and their views on politics and voting. This report describes some of the key results of those interviews, and makes recommendations for increasing political participation among low-income and working-class people in the U.S. Almost every nonvoter or irregular voter we spoke with told us that politics seems disconnected from their lives in at least one of two ways. First, many feel like politics are by, for, and about people unlike themselves, people who are wealthier or more educated. Second, many see politics as corrupt and unable to create meaningful change, and believe that politicians are not interested in helping them or their communities. We make three recommendations based both on our interviews and on a broader body of research. 1) People want to believe that politics can meaningfully improve their lives – so they need to see clear connections between the real problems they face and potential and actual solutions in politics and policy. 2) People want to see themselves reflected in politics – so they need more people from low-income and working-class backgrounds working in every aspect of politics and government, at every level. 3) People want to feel genuinely listened to by those who have, or seek, political power – so they need politicians and other political groups to spend more time in low-income and working-class communities

Lying Is Always Wrong

Anyone new to philosophy soon encounters new ideas that challenge their hidden biases and cherished beliefs, or are at odds with common sense and tradition. Yet, these philosophical ideas are backed by strong arguments, arguments so strong that it’s difficult to identify what is wrong with them. Too Weird to Believe, Too Plausible to Deny: Mind-Blowing Philosophical Ideas explores these strange yet cogent ideas in 29 short, clear chapters written by some of the best philosophers alive today. Each chapter starts with a seemingly counterintuitive philosophical conclusion and a simple, accurate description of the underlying argument supporting the conclusion, including historical and cultural context. This is followed by an outline of objections for the purposes of conversation and debate, and a discussion of the implications of the idea, or how it may relate to the reader’s interests and attitudes. Each chapter closes with suggested readings and a list of references for readers who want to learn more about the idea

I Just Broke Down : Critical Care And Secondary Traumatic Stress In Multilingual Schools

Drawing on nearly a decade of qualitative data collection and educator engagement at an immigrant-serving high school in Philadelphia, this essay explores the intersections of critical multilingual pedagogy with secondary traumatic stress (STS). STS is a mental health condition impacting professionals who work closely with trauma-impacted individuals, which can adversely impact their job satisfaction and career trajectories. Weaving teacher accounts with scholarship on critical care, STS, and teachers’ working conditions, the authors paint a complex picture of how, in spite of its myriad benefits for students, critical care can increase educators’ risk of developing STS in multilingual, immigrant- serving schools, especially in disenfranchised communities. Their analysis highlights the importance of working conditions and co-worker solidarity in either amplifying or reducing STS. These findings suggest the need for systemic approaches to understanding how secondary traumatic stress develops in schools and offer implications for school leaders and teacher educators, alike

“This Would Certainly Happen Unless We Killed Every White Man”: The Tsilhqot’in’s War of Survival

In 1864, several Tsilhqot’in (also spelled as “Chilcotin” or “Chilcoaten”) killed workers building a road across their territory in modern-day British Columbia. Six of the Tsilhqot’in, including their war chief, Lhatŝ’aŝʔin (also spelled as “Klatsassin”), were subsequently executed by the British colonial government. Since the Tsilhqot’in were initially assisting the road crew, this paper addresses the question of what caused the so-called “Chilcotin War” to begin

Psychometric Properties Of A Novel Affective Bias Task And Its Application In Clinical And Nonclinical Populations

To mitigate limitations of self-reported mood assessments, we introduce a novel affective bias task. The task quantifies instantaneous emotional state by leveraging the phenomenon of affective bias, in which people interpret external emotional stimuli in a manner consistent with their current emotional state. This study establishes task stability in measuring and tracking depressive symptoms in clinical and nonclinical populations. Initial assessment in a large nonclinical sample established normative ratings. Depressive symptoms were measured and compared with task performance in a nonclinical sample, as well as in a clinical cohort of individuals who were undergoing surgical evaluation for severe epilepsy. In both cohorts, a stronger negative affective bias was associated with a higher Beck Depression Inventory-II score. The affective bias task exhibited high stability and interrater reliability as well as construct validity in predicting depression levels in both cohorts, suggesting that the task is a reliable proxy for mood and a diagnostic tool for detecting depressive symptoms

Shame Across East And West

In order to gain a deeper understanding of shame and shamelessness as ethico-political phenomena in the contemporary world, this book stages a cross-cultural dialogue that questions and unsettles established views. Expounding and evaluating a range of perspectives on shame, from the ancient Greeks and classical Confucians to modern liberalism, the chapters in this collection reflect on how we should understand the movement of shame from private morality into the collective sphere, and ask what role shame can or should play, as emotional support or ethical corrective, to the normative frameworks of social and political civility. Covering the prominent discourses of Western modernity, as well as non-Western, and oppositional traditions, this volume will be of interest to students and scholars in moral and political philosophy, contemporary democratic theory, and comparative philosophy