Geometric Methods in PDE’s

Analysis of PDEs is a prominent discipline of research in mathematics both for its theoretical aspects and for its relevance in applications. In recent years geometric properties of linear and nonlinear second order PDEs of elliptic and parabolic type have been extensively studied by many outstanding researchers. This book collects the scientific contributions of a selected group of leading experts which took part to the INdAM meeting "Geometric methods in PDEs", on the occasion of the 70th birthday of Ermanno Lanconelli. They describe some new achievements and/or the state of the art of their discipline of research, giving to the reader a concrete idea of many recent progress and future trends of research in PDEs. In particular, the volume collects significant results for sub-elliptic equations, potential theory and diffusion equations, with emphasis on the comparison between different methodologies and on theoretical and applicative implications.