Title | Partial Differential Equations and the Calculus of Variations [electronic resource] : Essays in Honor of Ennio De Giorgi / edited by Ferruccio Colombini, Antonio Marino, Luciano Modica, Sergio Spagnolo |
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Imprint | Boston, MA : Birkhรคuser Boston, 1989 |
Connect to | http://dx.doi.org/10.1007/978-1-4615-9828-2 |
Descript | XXII, 519 p. online resource |
An improvement of Cartanโs test for ordinarity -- A mathematical contribution to Gibbsโs analysis of fluid phases in equilibrium -- The epi-continuation method for minimization problems. Relation with the degree theory of F.Browder for maximal monotone operators -- Discretization of evolution variational inequalities -- Homogenization for non linear elliptic equations with random highly oscillatory coefficients -- L? and L1 variations on a theme of ? -convergence -- Asymptotics for elliptic equations involving critical growth -- Asymptotic behaviour for Dirichlet problems in domains bounded by thin layers -- Fundamental interior estimates for a class of second order elliptic operators -- ?-Convergence of integral functionals defined on vector-valued functions -- Limits of obstacle problems for the area functional -- Some remarks on the well-posedness of the Cauchy problem in Gevrey spaces -- Approximating measures and rectifiable curves -- A non-uniqueness result for the operators with principal part ?2t + a(t)?2x -- A note on duality and the calculus of variations -- Some results on periodic solutions of Hamilton-Jacobi equations in Hilbert spaces -- Generalized solutions to ordinary differential equations with discontinuous right-hand sides via ?-convergence -- Stationary solutions of nonlinear Schrรถdinger equations with an external magnetic field -- On the touching principle -- Generalized solutions and convex duality in optimal control -- Models of self-descriptive set theories