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Book DetailsContemporary MathematicsVolume: 370; 2005; 211 ppMSC: Primary 30; 31; 32; 35; 46; 47
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.
ReadershipGraduate students and research mathematicians interested in harmonic analysis and partial differential equations.
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Table of Contents
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Articles
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Frank H. Beatrous, Thomas J. Bieske and Juan J. Manfredi — The maximum principle for vector fields [ MR 2126697 ]
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Ivan Blank — A partial classification of the blowups of the singularities in a composite membrane problem [ MR 2126698 ]
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András Domokos and Juan J. Manfredi — $C^{1,\alpha }$-regularity for $p$-harmonic functions in the Heisenberg group for $p$ near 2 [ MR 2126699 ]
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Luigi D’Onofrio and Tadeusz Iwaniec — Notes on $p$-harmonic analysis [ MR 2126700 ]
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M. Foss — A condition sufficient for the partial regularity of minimizers in two-dimensional nonlinear elasticity [ MR 2126701 ]
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Chiara Frosini — Dynamics on bounded domains [ MR 2126702 ]
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Kathryn E. Hare and Alexander M. Stokolos — On the rate of tangential convergence of functions from Hardy spaces, $0<p<1$ [ MR 2126703 ]
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Peter A. Hästö — Counter-examples of regularity in variable exponent Sobolev spaces [ MR 2126704 ]
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Leonid V. Kovalev and David Opěla — Quasiregular gradient mappings and strong solutions of elliptic equations [ MR 2126705 ]
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R. S. Kraußhar, Yuying Qiao and John Ryan — Harmonic, monogenic and hypermonogenic functions on some conformally flat manifolds in ${\bf R}^n$ arising from special arithmetic groups of the Vahlen group [ MR 2126706 ]
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John L. Lewis — On symmetry and uniform rectifiability arising from some overdetermined elliptic and parabolic boundary conditions [ MR 2126707 ]
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Liliana Forzani and Diego Maldonado — Recent progress on the Monge-Ampère equation [ MR 2126708 ]
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Jani Onninen — Mappings of finite distortion: future directions and problems [ MR 2126709 ]
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Małgorzata Stawiska — Riemann-Hurwitz formula and Morse theory [ MR 2126710 ]
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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.
Graduate students and research mathematicians interested in harmonic analysis and partial differential equations.
-
Articles
-
Frank H. Beatrous, Thomas J. Bieske and Juan J. Manfredi — The maximum principle for vector fields [ MR 2126697 ]
-
Ivan Blank — A partial classification of the blowups of the singularities in a composite membrane problem [ MR 2126698 ]
-
András Domokos and Juan J. Manfredi — $C^{1,\alpha }$-regularity for $p$-harmonic functions in the Heisenberg group for $p$ near 2 [ MR 2126699 ]
-
Luigi D’Onofrio and Tadeusz Iwaniec — Notes on $p$-harmonic analysis [ MR 2126700 ]
-
M. Foss — A condition sufficient for the partial regularity of minimizers in two-dimensional nonlinear elasticity [ MR 2126701 ]
-
Chiara Frosini — Dynamics on bounded domains [ MR 2126702 ]
-
Kathryn E. Hare and Alexander M. Stokolos — On the rate of tangential convergence of functions from Hardy spaces, $0<p<1$ [ MR 2126703 ]
-
Peter A. Hästö — Counter-examples of regularity in variable exponent Sobolev spaces [ MR 2126704 ]
-
Leonid V. Kovalev and David Opěla — Quasiregular gradient mappings and strong solutions of elliptic equations [ MR 2126705 ]
-
R. S. Kraußhar, Yuying Qiao and John Ryan — Harmonic, monogenic and hypermonogenic functions on some conformally flat manifolds in ${\bf R}^n$ arising from special arithmetic groups of the Vahlen group [ MR 2126706 ]
-
John L. Lewis — On symmetry and uniform rectifiability arising from some overdetermined elliptic and parabolic boundary conditions [ MR 2126707 ]
-
Liliana Forzani and Diego Maldonado — Recent progress on the Monge-Ampère equation [ MR 2126708 ]
-
Jani Onninen — Mappings of finite distortion: future directions and problems [ MR 2126709 ]
-
Małgorzata Stawiska — Riemann-Hurwitz formula and Morse theory [ MR 2126710 ]
