Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
Symmetry for Elliptic PDEs
 
Edited by: Alberto Farina Université de Picardie Jules Verne, Amiens, France
Enrico Valdinoci Università Di Roma Tor Vergata, Rome, Italy
Symmetry for Elliptic PDEs
Softcover ISBN:  978-0-8218-4804-3
Product Code:  CONM/528
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-8207-8
Product Code:  CONM/528.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-4804-3
eBook: ISBN:  978-0-8218-8207-8
Product Code:  CONM/528.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Symmetry for Elliptic PDEs
Click above image for expanded view
Symmetry for Elliptic PDEs
Edited by: Alberto Farina Université de Picardie Jules Verne, Amiens, France
Enrico Valdinoci Università Di Roma Tor Vergata, Rome, Italy
Softcover ISBN:  978-0-8218-4804-3
Product Code:  CONM/528
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-8207-8
Product Code:  CONM/528.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-4804-3
eBook ISBN:  978-0-8218-8207-8
Product Code:  CONM/528.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 5282010; 137 pp
    MSC: Primary 35

    This volume contains contributions from the INdAM School on Symmetry for Elliptic PDEs, which was held May 25–29, 2009, in Rome, Italy. The school marked “30 years after a conjecture of De Giorgi, and related problems” and provided an opportunity for experts to discuss the state of the art and open questions on the subject.

    Motivated by the classical rigidity properties of the minimal surfaces, De Giorgi proposed the study of the one-dimensional symmetry of the monotone solutions of a semilinear, elliptic partial differential equation. Impressive advances have recently been made in this field, though many problems still remain open. Several generalizations to more complicated operators have attracted the attention of pure and applied mathematicians, both for their important theoretical problems and for their relation, among others, with the gradient theory of phase transitions and the dynamical systems.

    Readership

    Graduate students and research mathematicians interested in elliptic PDEs.

  • Table of Contents
     
     
    • Articles
    • F. Demengel and I. Birindelli — One-dimensional symmetry for solutions of Allen Cahn fully nonlinear equations [ MR 2759031 ]
    • Ermanno Lanconelli — Maximum principles and symmetry results in sub-Riemannian settings [ MR 2759032 ]
    • Louis Dupaigne — Symétrie: si, mais seulement si? [ MR 2759033 ]
    • O. Savin — Minimal surfaces and minimizers of the Ginzburg-Landau energy [ MR 2759034 ]
    • I. E. Verbitsky — Green’s function estimates for some linear and nonlinear elliptic problems [ MR 2759035 ]
    • L. Montoro and B. Sciunzi — Monotonicity of the solutions of quasilinear elliptic equations in the half-plane with a changing sign nonlinearity [ MR 2759036 ]
    • Fausto Ferrari — Some inequalities associated with semilinear elliptic equations with variable coefficients and applications [ MR 2759037 ]
    • Louis Dupaigne and Yannick Sire — A Liouville theorem for non local elliptic equations [ MR 2759038 ]
    • Manuel del Pino, Michal Kowalczyk and Juncheng Wei — On a conjecture by De Giorgi in dimensions 9 and higher [ MR 2759040 ]
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 5282010; 137 pp
MSC: Primary 35

This volume contains contributions from the INdAM School on Symmetry for Elliptic PDEs, which was held May 25–29, 2009, in Rome, Italy. The school marked “30 years after a conjecture of De Giorgi, and related problems” and provided an opportunity for experts to discuss the state of the art and open questions on the subject.

Motivated by the classical rigidity properties of the minimal surfaces, De Giorgi proposed the study of the one-dimensional symmetry of the monotone solutions of a semilinear, elliptic partial differential equation. Impressive advances have recently been made in this field, though many problems still remain open. Several generalizations to more complicated operators have attracted the attention of pure and applied mathematicians, both for their important theoretical problems and for their relation, among others, with the gradient theory of phase transitions and the dynamical systems.

Readership

Graduate students and research mathematicians interested in elliptic PDEs.

  • Articles
  • F. Demengel and I. Birindelli — One-dimensional symmetry for solutions of Allen Cahn fully nonlinear equations [ MR 2759031 ]
  • Ermanno Lanconelli — Maximum principles and symmetry results in sub-Riemannian settings [ MR 2759032 ]
  • Louis Dupaigne — Symétrie: si, mais seulement si? [ MR 2759033 ]
  • O. Savin — Minimal surfaces and minimizers of the Ginzburg-Landau energy [ MR 2759034 ]
  • I. E. Verbitsky — Green’s function estimates for some linear and nonlinear elliptic problems [ MR 2759035 ]
  • L. Montoro and B. Sciunzi — Monotonicity of the solutions of quasilinear elliptic equations in the half-plane with a changing sign nonlinearity [ MR 2759036 ]
  • Fausto Ferrari — Some inequalities associated with semilinear elliptic equations with variable coefficients and applications [ MR 2759037 ]
  • Louis Dupaigne and Yannick Sire — A Liouville theorem for non local elliptic equations [ MR 2759038 ]
  • Manuel del Pino, Michal Kowalczyk and Juncheng Wei — On a conjecture by De Giorgi in dimensions 9 and higher [ MR 2759040 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.