The p-harmonic equation and recent advances in analysis : IIIrd Prairie Analysis Seminar, October 17-18, 2003, Kansas State University, Manhattan, Kansas
著者
書誌事項
The p-harmonic equation and recent advances in analysis : IIIrd Prairie Analysis Seminar, October 17-18, 2003, Kansas State University, Manhattan, Kansas
（Contemporary mathematics, 370）
American Mathematical Society, c2005
- : pbk
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注記
Includes bibliographical references
内容説明・目次
内容説明
Comprised of papers from the IIIrd Prairie Analysis Seminar held at Kansas State University, this book reflects the many directions of current research in harmonic analysis and partial differential equations. Included is the work of the distinguished main speaker, Tadeusz Iwaniec, his invited guests John Lewis and Juan Manfredi, and many other leading researchers. The main topic is the so-called p-harmonic equation, which is a family of nonlinear partial differential equations generalizing the usual Laplace equation. This study of p-harmonic equations touches upon many areas of analysis with deep relations to functional analysis, potential theory, and calculus of variations. The material is suitable for graduate students and research mathematicians interested in harmonic analysis and partial differential equations.
目次
The maximum principle for vector fields by F. H. Beatrous, T. J. Bieske, and J. J. Manfredi A partial classification of the blowups of the singularities in a composite membrane problem by I. Blank $C^{1,\alpha}$-regularity for $p$-harmonic functions in the Heisenberg group for $p$ near 2 by A. Domokos and J. J. Manfredi Notes on $p$-harmonic analysis by L. D'Onofrio and T. Iwaniec A condition sufficient for the partial regularity of minimizers in two-dimensional nonlinear elasticity by M. Foss Dynamics on bounded domains by C. Frosini On the rate of tangential convergence of functions from Hardy spaces, $0
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