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Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
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Searching... | 30000010065489 | QA379 G46 1993 | Open Access Book | Book | Searching... |
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Summary
Summary
This reference features papers from the Special Session of the American Mathematical Society Meeting held in 1990 at the University of North Texas, Denton - discussing and developing research on boundary value problems for nonlinear partial differential equations and related problems.;Written by more than 15 authorities in the field, Geometric Analysis and Nonlinear Partial Differential Equations: presents methods and results of the convex bodies and geometric inequalities theory and its applications to differential equations, geometry, and mathematical physics; details recent studies on Monge-Ampere equations, emphasizing geometric inequalities governing a priori estimates of solutions and existence theorems of the Dirichlet problem for convex generalized solutions and showing the proofs of all theorems; examines the generalization of the isoperimetric inequality for two-dimensional general convex surfaces whose integral Gaussian curvature is less than 2 pi; and contains open problems on the theory of surfaces with constant mean curvature.;Geometric Analysis and Nonlinear Partial Differential Equations is for mathematical analysts, geometers, pure and applied mathematicians, physicists, engineers, computer scientists, and upper-level undergraduate and graduate students in these disciplines.
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 problemsIlya J. Bakelman and William L. Perry |
qualitative behaviour of solutions to a system of partial differential equations from nonlinear elasticityPatricia Bauman |
asymptotic approximations to the fundamental solutions of differential equations on manifoldsS.A. Fulling |
harmonic maps with nontrivial higher-dimensional singularitiesGuojun Liao and Nathan Smale |
elliptic systems for a medium with microstructureR.E. Showalter and N.J. Walkington |
asymptotic behaviour of positive decreasing solutions of y=F(t,y,y')Steven D. Taliaferro |
uniqueness of capillary surfaces in wedges and conesThomas I. Vogel |
a Neumann evolution problem for plastic antiplanar shearXiaodong Zhou |
Part 2 Convex bodies and related topics |
axiomatic convex potential theoryE.M.J. Bertin |
area-reducing flowsXiaoxi Cheng |
double normals characterize bodies of constant width in Riemannian manifoldsBoris V. Dekster |
quasi-time functions in Lorentzian geometryPaul E. Ehrlich and Gerard G. Emch |
the Weyl problem for surfaces in nonnegative curvatureJoseph A. Iaia |
singularities and the conformal scalar curvature equationRobert C. McOwen |
Part 3 Surveys devoted to geometric inequalities and convex bodies |
geometric inequalities and existence theorems for convex generalized solutions of n-dimensional Monge-Ampere equationsIlya J. Bakelman |
the isoperimetric problem for two-dimensional convex surfacesIlya J. Bakelman and Steven D. Taliaferro |
Part 4 Problems |
open problems in the geometry of equilibrium configurationsRobert Gulliver and Henry Wente |