Calculus of Variations and Partial Differential Equations

Calculus of Variations and Partial Differential Equations

Topics on Geometrical Evolution Problems and Degree Theory

Herausgeber: Murthy, M. K. V.; Buttazzo, Giuseppe; Marino, Antonio
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The link between Calculus of Variations and Partial Differential Equations has always been strong, because variational problems produce, via their Euler-Lagrange equation, a differential equation and, conversely, a differential equation can often be studied by variational methods. At the summer school in Pisa in September 1996, Luigi Ambrosio and Norman Dancer each gave a course on a classical topic (the geometric problem of evolution of a surface by mean curvature, and degree theory with applications to pde's resp.), in a self-contained presentation accessible to PhD students, bridging the ga...