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  • Extremum Problems for Eigenvalues of Elliptic Operatorsby Antoine Henrot

    Birkhäuser Basel 2006; US$ 69.99

    Problems linking the shape of a domain or the coefficients of an elliptic operator to the sequence of its eigenvalues are among the most fascinating of mathematical analysis. In this book, we focus on extremal problems. For instance, we look for a domain which minimizes or maximizes a given eigenvalue of the Laplace operator with various boundary... more...

  • Variation et optimisation de formesby Antoine Henrot; Michel Pierre

    Springer Berlin Heidelberg 2006; US$ 99.00

    Ce livre est une initiation aux approches modernes de l?optimisation mathématique de formes. On y développe la méthodologie ainsi que les outils d?analyse mathématique et de géométrie nécessaires à l?étude des variations de domaines. On y trouve une étude systématique des questions géométriques associées à l?opérateur de Laplace, de la capacité classique,... more...

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