Introduction to the Calculus of VariationsImperial College Press, 2004 - 228 pages This book, containing more than 70 exercises with detailed solutions, is well designed for a course both at the undergraduate and graduate levels. |
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Expressions et termes fréquents
bounded open set calculus of variations Chapter compact constant deduce define definition denote dimensional Dirichlet integral dxdy Euler-Lagrange equation Example Exercises Exercise exists fact function f ƒç H₂ Hamilton-Jacobi equation Hamiltonian hence Hilbert Hölder inequality hypothesis implies infI isoperimetric inequality Lebesgue Let f Let ƒ Let NC Rn Lipschitz boundary lower semicontinuity mean curvature meas minimal surface minimizing sequence Morrey Nitsche 78 nonparametric surfaces Observe obtain open set parametric partial differential equations Poincaré inequality proof prove Remark result satisfies Section set with Lipschitz Sobolev spaces solution Springer Step strictly convex Theorem 3.3 unique W¹‚º W¹‚P W¹² W¹P