Contemporary Mathematics 2005; 211 pp; softcover Volume: 370 ISBN10: 0821836102 ISBN13: 9780821836101 List Price: US$65 Member Price: US$52 Order Code: CONM/370
 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  F. H. Beatrous, T. J. Bieske, and J. J. Manfredi  The maximum principle for vector fields
 I. Blank  A partial classification of the blowups of the singularities in a composite membrane problem
 A. Domokos and J. J. Manfredi  \(C^{1,\alpha}\)regularity for \(p\)harmonic functions in the Heisenberg group for \(p\) near 2
 L. D'Onofrio and T. Iwaniec  Notes on \(p\)harmonic analysis
 M. Foss  A condition sufficient for the partial regularity of minimizers in twodimensional nonlinear elasticity
 C. Frosini  Dynamics on bounded domains
 K. E. Hare and A. M. Stokolos  On the rate of tangential convergence of functions from Hardy spaces, \(0<p<1\)
 P. A. Hästö  Counterexamples of regularity in variable exponent Sobolev spaces
 L. V. Kovalev and D. Opěla  Quasiregular gradient mappings and strong solutions of elliptic equations
 R. S. Krausshar, Y. Qiao, and J. Ryan  Harmonic, monogenic and hypermonogenic functions on some conformally flat manifolds in \(R^n\) arising from special arithmetic groups of the Vahlen group
 J. L. Lewis  On symmetry and uniform rectifiability arising from some overdetermined elliptic and parabolic boundary conditions
 L. Forzani and D. Maldonado  Recent progress on the MongeAmpère equation
 J. Onninen  Mappings of finite distortion: Future directions and problems
 M. Stawiska  RiemannHurwitz formula and Morse theory
