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Giovanni Leoni, Professor
Ph.D., University of Minnesota, Minneapolis
Office: Wean Hall 6123
Phone: 412-268-2557
Personal web site


My current research interests lie in calculus of variations, partial differential equations and geometric measure theory with special emphasis on applications to problems in continuum mechanics, in materials science, and in imaging. Recent areas of focus have been: variational problems involving material defects, such as dislocations; the epitaxial growth of a thin film over a crystalline substrate; phase field models for anisotropic crystalline energies.

Selected Publications:


Leoni, Giovanni, A First Course in Sobolev Spaces: Second Edition, Graduate Studies in Mathematics, 181, American Mathematical Society, Providence, RI, 2017.

Leoni, Giovanni, A first course in Sobolev spaces, Graduate Studies in Mathematics, 105. American Mathematical Society, Providence, RI, 2009.

Fonseca, Irene; Leoni, Giovanni, Modern methods in the calculus of variations: Lp spaces, Springer Monographs in Mathematics. Springer, New York, 2007.

Recent CNA Publications: