This book investigates the latest advancements in the theory and application of partial differential equations (PDEs) within the field of mathematical physics. It presents a collection of research contributions exploring theoretical developments and their practical implications, focusing on how PDEs serve as fundamental tools for modeling complex physical phenomena. The work is structured to reflect current research trends and challenges in the interplay between pure mathematics and applied physics.

This collection of research papers is likely aimed at an academic audience specializing in advanced mathematics and theoretical physics. The focus on 'developments' and 'applications' suggests a compilation of cutting-edge research rather than an introductory text. The inclusion of Giuseppe Buttazzo as an author indicates a high level of theoretical rigor, characteristic of contributions to specialized scientific conferences or edited volumes.