Harnack Inequalities and Nonlinear Operators

Proceedings of the INdAM conference to celebrate the 70th birthday of Emmanuele DiBenedetto

Vincenzo Vespri, Ugo Gianazza, Dario Daniele Monticelli, Fabio Punzo, Daniele Andreucci (Herausgeber)

Buch | Hardcover

VIII, 199 Seiten

2021
Springer International Publishing (Verlag)
978-3-030-73777-1 (ISBN)

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The book contains two contributions about the work of Emmanuele DiBenedetto and a selection of original papers. The authors are some of the main experts in Harnack's inequalities and nonlinear operators. These papers are part of the contributions presented during the conference to celebrate the 70th birthday of Prof. Emmanuele DiBenedetto, which was held at "Il Palazzone" in Cortona from June 18th to 24th, 2017. The papers are focused on current research topics regarding the qualitative properties of solutions, connections with calculus of variations, Harnack inequality and regularity theory. Some papers are also related to various applications. Many of the authors have shared with Prof. DiBenedetto an intense scientific and personal collaboration, while many others have taken inspiration from and further developed his field of research.
The topics of the conference are certainly of great interest for the international mathematical community.

- What I Learnt from Emmanuele DiBenedetto. - A Short Presentation of Emmanuele's Work. - Evolutionary Problems in Non-Cylindrical Domains. - A Compactness Result for the Sobolev Embedding via Potential Theory. - Mathematical Modeling of the Rod Phototransduction Process. - Existence, Decay Time and Light Yield for a Reaction-Diffusion-Drift Equation in the Continuum Physics of Scintillators. - Boundary Harnack Type Inequality and Regularity for Quasilinear Degenerate Elliptic Equations. - Monotonicity of Positive Solutions to -Deltapu + a(u)| u|q = f (u) in the Half-Plane in the Case p 2. - Geometric Tangential Analysis and Sharp Regularity for Degenerate pdes. - Complete List of Mathematical Papers Authored by Emmanuele DiBenedetto. - Complete List ofMonographs and Textbooks Authored or Edited by Emmanuele DiBenedetto.

Erscheinungsdatum	01.06.2021
Reihe/Serie	Springer INdAM Series
Zusatzinfo	VIII, 199 p. 29 illus., 18 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	512 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Finanz- / Wirtschaftsmathematik
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
Schlagworte	degenerate parabolic equations • Harnack inequality • maximum principles • regularity theory • singular parabolic equations
ISBN-10	3-030-73777-2 / 3030737772
ISBN-13	978-3-030-73777-1 / 9783030737771
Zustand	Neuware