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Bulletin of the American Mathematical Society

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Book Review

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Book Information:

Author: Michael Struwe
Title: Variational methods (Applications to nonlinear PDE and Hamiltonian systems)
Additional book information: Springer-Verlag, New York, 1990, 244 pp., US$39.50. ISBN 3-540-52022-8.

References [Enhancements On Off] (What's this?)

  • [A1] S. I. Al'ber, On n-dimensional problems in the calculus of variations in the large, Soviet Math. Dokl. 5 (1964), 700-704.
  • [A2] -, Spaces of mappings into a manifold with negative curvature, Soviet Math. Dokl. 9 (1967), 6-9.
  • [B] V. Bangert, Geodätische Linien auf Riemannschen Mannigfaltigkeiten, Jber. DMV 87 (1985), 39-66. MR 789708 (87i:58036)
  • [C] Ph. Ciarlet, Mathematical elasticity, vol. I: Three-dimensional elasticity, North-Holland, Amsterdam, 1988. MR 936420 (89e:73001)
  • [CDY] K. C. Chang, W. Y. Ding, and R. Ye, Finite-time blow-up of the heat flow of harmonic maps from surfaces.
  • [D] B. Dacorogna, Direct methods in the calculus of variations, Springer-Verlag, New York, 1989. MR 990890 (90e:49001)
  • [ES] J. Eells and J. Sampson, Harmonic mappings of Riemannian manifolds, Amer. J. Math. 86 (1986), 109-160. MR 0164306 (29:1603)
  • [GG] M. Giaquinta and E. Giusti, On the regularity of the minima of variational integrals, Acta Math. 148 (1982), 31-46. MR 666107 (84b:58034)
  • [J] J. Jost, Two-dimensional geometric variational problems, Wiley-Interscience, Chichester, 1991. MR 1100926 (92h:58045)
  • [K] W. Klingenberg, Lectures on closed geodesies, Springer-Verlag, New York, 1978. MR 0478069 (57:17563)
  • [L] L. Lemaire, Applications harmoniques de surfaces riemanniennes, J. Differential Geom. 13 (1978), 51-78. MR 520601 (80h:58024)
  • [SaU] J. Sacks and K. Uhlenbeck, On the existence of minimal immersions of 2-spheres, Ann. of Math. (2) 113 (1981), 1-24. MR 604040 (82f:58035)
  • [S] R. Schoen, Conformal deformation of a Riemannian metric to constant scalar curvature, J. Differential Geom. 20 (1984), 479-495. MR 788292 (86i:58137)
  • [SU] R. Schoen and K. Uhlenbeck, A regularity theory for harmonic maps, J. Differential Geom. 17 (1982), 307-335; Correction in J. Differential Geom. 18 (1983), 329. MR 664498 (84b:58037a)
  • [Sy] R. Schoen and S. T. Yau, Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature, Ann. of Math. (2) 110 (1979), 127-142. MR 541332 (81k:58029)
  • [St] M. Struwe, Plateau's problem and the calculus of variations, Princeton Univ. Press, Princeton, NJ, 1989.
  • [W] H. Wente, Large solutions to the volume constrained Plateau problem, Arch. Rational Mech. Anal. 75 (1980), 59-77. MR 592104 (82a:49049)
  • [Z] E. Zeidler, Nonlinear functional analysis and its applications, vol. IV: Applications to mathematical physics, Springer-Verlag, New York, 1988. MR 932255 (90b:00004)

Review Information:

Reviewer: J"urgen Jost
Journal: Bull. Amer. Math. Soc. 28 (1993), 149-153
American Mathematical Society