Geometric analysis and nonlinear partial differential equations /
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Imprint: | New York : M. Dekker, c1993. |
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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 |
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