Symmetry for elliptic PDEs : (30 years after a conjecture of De Giorgi, and related problems) : May 25-29, 2009, IndAm School, Rome, Italy / Alberto Farina, Enrico Valdinoci, editors.

Format:

Book

Conference/Event

Contributor:

Farina, Alberto, 1969- editor.

Valdinoci, Enrico, 1974- editor.

Conference Name:

INdAM School on Symmetry for Elliptic PDEs (2009 : Rome, Italy), issuing body.

INdAM School on Symmetry for Elliptic PDEs

Series:

Contemporary mathematics (American Mathematical Society). 0271-4132 528

Contemporary mathematics, 528 0271-4132

Language:

English

Subjects (All):

Differential equations, Elliptic--Congresses.

Differential equations, Elliptic.

Symmetry (Mathematics)--Congresses.

Symmetry (Mathematics).

Physical Description:

1 online resource (152 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2010]

Language Note:

English

Summary:

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.|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.

Contents:

One-dimensional symmetry for solutions of Allen Cahn fully nonlinear equations / F. Demengel and I. Birindelli

Maximum principles and symmetry results in sub-Riemannian settings / E. Lanconelli

Symétrie : si, mais seulement, si? / L. Dupaigne

Minimal surfaces and minimizers of the Ginzburg-Landau energy / O. Savin

Green's function estimates for some linear and nonlinear elliptic problems / I.E. Verbitsky

Monotonicity of the solutions of quasilinear elliptic equations in the half-plane with a changing sign nonlinearity / L. Montoro and B. Sciunzi

Some inequalities associated with semilinear elliptic equations with variable coefficients and applications / F. Ferrari

A Liouville theorem for non local elliptic equations / L. Dupaigne and Y. Sire

On a conjecture by De Giorgi in dimensions 9 and higher / M. del Pino, M. Kowalczyk and J. Wei.

Notes:

Description based upon print version of record.

Includes bibliographical references (pages 136-137).

Description based on print version record.

ISBN:

0-8218-8207-4