Elliptic partial differential equations from an elementary viewpoint
Serena Dipierro, Enrico Valdinoci
TL;DR
This paper provides an elementary introduction to elliptic partial differential equations, aimed at undergraduate and graduate students, based on courses taught at multiple universities.
Contribution
It offers accessible educational material on elliptic PDEs, bridging advanced concepts with foundational teaching for diverse student audiences.
Findings
Clear exposition of elliptic PDE theory
Educational approach suitable for undergraduates and graduates
Course-based material from multiple universities
Abstract
These notes are the outcome of some courses taught to undergraduate and graduate students from the University of Western Australia, the Pontif\'{\i}cia Universidade Cat\'olica do Rio de Janeiro, the Indian Institute of Technology Gandhinagar and the Ukrainian Catholic University in 2021 and 2022.
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