Geometric analysis and nonlinear partial differential equations /

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Bibliographic Details
Imprint:New York : M. Dekker, c1993.
Description:xii, 308 p. : ill. ; 26 cm.
Language:English
Series:Lecture notes in pure and applied mathematics ; 144
Lecture notes in pure and applied mathematics v. 144
Subject:
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/1453863
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Other authors / contributors:Bakelʹman, I. I͡A. (Ilʹi͡a I͡Akovlevich), 1928-
ISBN:0824788974 (alk. paper)
Notes:Based on papers from the 861st Meeting of the American Mathematical Society held at the University of North Texas, Denton, Nov. 2-3, 1990.
Includes bibliographical references.
Table of Contents:
  • Part 1. Geometric methods in nonlinear elliptic partial differential equations and applied problems
  • geometric inequalities and estimates of solutions for nonlinear Euler-Lagrange equations and applied problems
  • qualitative behaviour of solutions to a system of partial differential equations from nonlinear elasticity
  • asymptotic approximations to the fundamental solutions of differential equations on manifolds
  • harmonic maps with nontrivial higher-dimensional singularities
  • elliptic systems for a medium with microstructure
  • asymptotic behaviour of positive decreasing solutions of y=F(t,y,y')
  • uniqueness of capillary surfaces in wedges and cones
  • a Neumann evolution problem for plastic antiplanar shear
  • Part 2. Convex bodies and related topics
  • axiomatic convex potential theory
  • area-reducing flows
  • double normals characterize bodies of constant width in Riemannian manifolds
  • quasi-time functions in Lorentzian geometry
  • the Weyl problem for surfaces in nonnegative curvature
  • singularities and the conformal scalar curvature equation
  • Part 3. Surveys devoted to geometric inequalities and convex bodies
  • geometric inequalities and existence theorems for convex generalized solutions of n-dimensional Monge-Ampere equations
  • the isoperimetric problem for two-dimensional convex surfaces
  • Part 4. Problems
  • open problems in the geometry of equilibrium configurations