Skip to main content
SpringerLink
Log in
Book cover

Geometric Properties for Parabolic and Elliptic PDE's

  • Book
  • © 2013

Overview

Editors:
  1. Rolando Magnanini

    1. Dipartimento di Matematica "U. Dini", Università di Firenze, Firenze, Italy

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Shigeru Sakaguchi

    1. Graduate School of Information Sciences, Division of Mathematics, Tohoku University, Sendai, Japan

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  3. Angelo Alvino

    1. , Dipartimento di Matematica ed Applicazio, Università di Napoli Federico II, Napoli, Italy

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • The survey articles provide excellent introductions for interested researchers
  • Potential readers belong to several areas of mathematics
  • The set of original papers covers a wide range of up-to-date and hot topics in the study of PDE's
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer INdAM Series (SINDAMS, volume 2)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (18 chapters)

  1. Front Matter

    Pages I-VIII
    Download chapter PDF

  2. Stability and Instability of Group Invariant Asymptotic Profiles for Fast Diffusion Equations

    • Goro Akagi
    Pages 1-16

  3. A Family of Hardy-Rellich Type Inequalities Involving the L 2-Norm of the Hessian Matrices

    • Elvise Berchio
    Pages 17-33

  4. Power Concavity for Solutions of Nonlinear Elliptic Problems in Convex Domains

    • Massimiliano Bianchini, Paolo Salani
    Pages 35-48

  5. The Heart of a Convex Body

    • Lorenzo Brasco, Rolando Magnanini
    Pages 49-66

  6. A Viscosity Equation for Minimizers of a Class of Very Degenerate Elliptic Functionals

    • Giulio Ciraolo
    Pages 67-83

  7. Kato’s Inequality in the Half Space: An Alternative Proof and Relative Improvements

    • Adele Ferone
    Pages 85-96

  8. Sharp Bounds for the p-Torsion of Convex Planar Domains

    • Ilaria Fragalà, Filippo Gazzola, Jimmy Lamboley
    Pages 97-115

  9. Geometric Analysis of Fractional Phase Transition Interfaces

    • Giovanni Franzina, Enrico Valdinoci
    Pages 117-130

  10. Existence of Solutions to Some Classical Variational Problems

    • Antonio Greco
    Pages 131-142

  11. Existence of Minimizers for Some Coupled Nonlinear Schrödinger Equations

    • Norihisa Ikoma
    Pages 143-164

  12. Decay Rate of L q Norms of Critical Schrödinger Heat Semigroups

    • Kazuhiro Ishige, Yoshitsugu Kabeya
    Pages 165-178

  13. Hadamard Variation for Electromagnetic Frequencies

    • Shuichi Jimbo
    Pages 179-199

  14. Global Structure of the Solution Set for a Semilinear Elliptic Problem Related to the Liouville Equation on an Annulus

    • Toru Kan
    Pages 201-222

  15. A Priori Estimates and Comparison Principle for Some Nonlinear Elliptic Equations

    • Anna Mercaldo
    Pages 223-235

  16. Existence and Uniqueness of the n-Dimensional Helfrich Flow

    • Takeyuki Nagasawa
    Pages 237-250

  17. Ground States for Elliptic Equations in \(\pmb{\mathbb{R}}^{2}\) with Exponential Critical Growth

    • Bernhard Ruf, Federica Sani
    Pages 251-267

  18. Stationary Level Surfaces and Liouville-Type Theorems Characterizing Hyperplanes

    • Shigeru Sakaguchi
    Pages 269-282

  19. Nonexistence of Multi-bubble Solutions for a Higher Order Mean Field Equation on Convex Domains

    • Futoshi Takahashi
    Pages 283-292
Back to top

Keywords

About this book

The study of qualitative aspects of PDE's has always attracted much attention from the early beginnings. More recently, once basic issues about PDE's, such as existence, uniqueness and stability of solutions, have been understood quite well, research on topological and/or geometric properties of their solutions has become more intense. The study of these issues is attracting the interest of an increasing number of researchers and is now a broad and well-established research area, with contributions that often come from experts from disparate areas of mathematics, such as differential and convex geometry, functional analysis, calculus of variations, mathematical physics, to name a few.

This volume collects a selection of original results and informative surveys by a group of international specialists in the field, analyzes new trends and techniques and aims at promoting scientific collaboration and stimulating future developments and perspectives in this very active area of research.

Editors and Affiliations

  • Dipartimento di Matematica "U. Dini", Università di Firenze, Firenze, Italy

    Rolando Magnanini

  • Graduate School of Information Sciences, Division of Mathematics, Tohoku University, Sendai, Japan

    Shigeru Sakaguchi

  • , Dipartimento di Matematica ed Applicazio, Università di Napoli Federico II, Napoli, Italy

    Angelo Alvino

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation