Isoperimetric problems for Robin and Steklov eigenvalues: linear and nonlinear cases

Leonardo Trani · 2020

In this thesis we study some isoperimetric inequalities for eigenvalues of linear and nonlinear operators: in particular, we considerer inequalities for Robin and Steklov eigenvalues. In this framework different tools are needed as, for instance, spectral theory, partial differential equations, calculus of variations and shape optimization.

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