Contemporary Mathematics
Volume: 370;
2005;
211 pp;
Softcover
MSC: Primary 30; 31; 32; 35; 46; 47;
Print ISBN: 9780821836101
Product Code: CONM/370
List Price: $74.00
AMS Member Price: $59.20
MAA Member Price: $66.60
Electronic ISBN: 9780821879603
Product Code: CONM/370.E
List Price: $69.00
AMS Member Price: $55.20
MAA Member Price: $62.10
The \(p\)Harmonic Equation and Recent Advances in Analysis
Share this pageEdited by Pietro PoggiCorradini
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 socalled pharmonic equation, which is a family of
nonlinear partial differential equations generalizing the usual Laplace
equation. This study of pharmonic 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.
Readership
Graduate students and research mathematicians interested in harmonic analysis and partial differential equations.
Table of Contents
The $p$Harmonic Equation and Recent Advances in Analysis
 Contents v6 free
 Preface vii8 free
 Program ix10 free
 The maximum principle for vector fields 112 free
 A partial classification of the blowups of the singularities in a composite membrane problem 1122
 C1,αregularity for pharmonic functions in the Heisenberg group for p near 2 1728
 Notes on pharmonic analysis 2536
 A condition sufficient for the partial regularity of minimizers in twodimensional nonlinear elasticity 5162
 Dynamics on bounded domains 99110

On the rate of tangential convergence of functions from Hardy spaces, 0
119130
 Counterexamples of regularity in variable exponent Sobolev spaces 133144
 Quasiregular gradient mappings and strong solutions of elliptic equations 145156
 Harmonic, monogenic and hypermonogenic functions on some conformally flat manifolds in Rn arising from special arithmetic groups of the Vahlen group 159170
 On symmetry and uniform rectifiability arising from some overdetermined elliptic and parabolic boundary conditions 175186
 Recent progress on the MongeAmpère equation 189200
 Mappings of finite distortion: Future directions and problems 199210
 RiemannHurwitz formula and Morse theory 209220