Calculus of Variations and Multiscale Analysis | Mathematics Area - SISSA

Calculus of Variations and Multiscale Analysis

Homogenization of variational problems
Gamma-Convergence and relaxation
Variational methods in continuum mechanics
Variational methods in rate independent evolution prooblems
Variational methods in phase transitions
Variational methods in micromagnetics
Applications of geometric measure theory
Existence problems in the calculus of variations
Hamilton-Jacobi equations

Research Group:

Mathematical Analysis, Modelling, and Applications

Spaces with Ricci curvature bounded from below

Aim of the course is to be an introduction to the study of `metric measure spaces with Ricci curvature bounded from below'. Preliminaries are measure theory and some knowledge of Riemannian geometry. Then I will discuss:

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Measurable vector fields, rectifiable curves and flows of measures

Read more about Measurable vector fields, rectifiable curves and flows of measures

Istituzioni di Analisi Superiore 1

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Optimization of Laplace eigenvalues with Dirichlet region of prescribed size

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National Research Project (PRIN 1994) “Differential Equations and Calculus of Variations”

Funded by the Italian Ministry of Education, University, and Research.

Read more about National Research Project (PRIN 1994) “Differential Equations and Calculus of Variations”

National Research Project (PRIN 1995) “Differential Equations and Calculus of Variations”

Funded by the Italian Ministry of Education, University, and Research.

Read more about National Research Project (PRIN 1995) “Differential Equations and Calculus of Variations”

National Research Project (PRIN 1996) “Differential Equations and Calculus of Variations”

Funded by the Italian Ministry of Education, University, and Research.

Read more about National Research Project (PRIN 1996) “Differential Equations and Calculus of Variations”

National Research Project (PRIN 1997) “Differential Equations and Calculus of Variations”

Funded by the Italian Ministry of Education, University, and Research.

Read more about National Research Project (PRIN 1997) “Differential Equations and Calculus of Variations”

National Research Project (PRIN 2000) “Calculus of Variations”

Funded by the Italian Ministry of Education, University, and Research.

Read more about National Research Project (PRIN 2000) “Calculus of Variations”

National Research Project (PRIN 2002) “Calculus of Variations: Free Discontinuity Problems”,

Funded by the Italian Ministry of Education, University, and Research.

Read more about National Research Project (PRIN 2002) “Calculus of Variations: Free Discontinuity Problems”,

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