6 edition of **Regularity Results for Nonlinear Elliptic Systems and Applications** found in the catalog.

- 379 Want to read
- 25 Currently reading

Published
**August 5, 2002** by Springer .

Written in English

- Differential Equations,
- Integral Equations,
- Numerical solutions,
- Differential equations, Nonlin,
- Partial Differential Equations,
- Probability & Statistics - General,
- Mathematics,
- Science/Mathematics,
- Mathematical Analysis,
- Differential equations, Nonlinear,
- Applied,
- Differential Equations - Partial Differential Equations,
- 35-XX,
- 49-XX,
- 74-XX,
- 76-XX,
- 91A15,
- Control Theory,
- Mathematics / Differential Equations,
- Nonlinear Systems,
- Differential equations, Ellipt,
- Differential equations, Elliptic

The Physical Object | |
---|---|

Format | Hardcover |

Number of Pages | 453 |

ID Numbers | |

Open Library | OL9063425M |

ISBN 10 | 3540677569 |

ISBN 10 | 9783540677567 |

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"The book under review presents several topics of the regularity theory for nonlinear elliptic equations and systems which have been developed in recent years.

It may serve for teaching to higher graduate students and for researchers Regularity Results for Nonlinear Elliptic Systems and Applications book the field of nonlinear PDE’s." Cited by: The book collects many techniques that are helpul in obtaining regularity results for solutions of nonlinear systems of partial differential equations.

They are then applied in various cases to provide useful examples and relevant results, particularly in fields like fluid mechanics, solid mechanics, semiconductor theory, or game theory. Regularity Results for Nonlinear Elliptic Systems and Applications book Results for Nonlinear Elliptic Systems and Applications (Applied Mathematical Sciences Book ) - Kindle edition by Alain Bensoussan, Jens Frehse.

Download it once and read it on your Kindle device, PC, phones or tablets. Use features like Regularity Results for Nonlinear Elliptic Systems and Applications book, note taking and highlighting while reading Regularity Results for Nonlinear Elliptic Systems and Applications (Applied Mathematical Manufacturer: Springer.

Nov 03, · Unlike the description written above, the book is an introductory presentation to the theory of elliptic systems of partial differential equations with an emphasis to regularity results.

It is very concise and at the same time, rather comprehensive as an introductory exposition.5/5(1). Regularity Results for Nonlinear Elliptic Systems and Applications. [Alain Bensoussan; J Frehse] -- The book collects many techniques that are helpul in obtaining regularity results for solutions of nonlinear systems of partial differential equations.

They are then applied in various cases to Your Web browser is not enabled for JavaScript. This book collects many helpful techniques for obtaining regularity results for solutions of nonlinear systems of partial differential equations. These are applied in various cases to provide useful examples and relevant results, particularly in such fields as fluid mechanics, solid mechanics, semiconductor theory and game theory.

Regularity Results for Nonlinear Elliptic Systems and Applications de Alain Bensoussan, Jens Frehse - English books - commander la livre de la catégorie Mathématique sans frais de port et bon marché - Ex Libris boutique en perloffphoto.com Edition: Softcover Reprint of Hardcover 1st Ed.

Singularities of Nonlinear Elliptic Systems. Regularity Results for Nonlinear Elliptic Systems and Applications. Book. General Technical Results.- General Regularity Results.- Nonlinear. Nov 01, · AbstractIn this paper, we are concerned with the nonlinear elliptic systems in divergence form under controllable growth condition.

We prove that the weak solution u is locally Hölder continuous besides a singular set by using the direct method and classical Morrey-type estimates. Here the Hausdorff dimension of the singular set is less than n - p {n-p}.Author: Zhong Tan, Yanzhen Wang, Shuhong Chen.

Regularity Results for Nonlinear Elliptic Systems and Applications. Bensoussan A., Frehse J. () Nonlinear Elliptic Systems Arising from Ergodic Control. In: Regularity Results for Nonlinear Elliptic Systems and Applications book Results for Nonlinear Elliptic Systems and Applications.

Applied Mathematical Sciences, vol Author: Alain Bensoussan, Jens Frehse. Results similar to those obtained in, for nonlinear elliptic systems with principal part behaving like a p-Laplace operator can be found in. Here we will study higher regularity of the solution for smoother right-hand side under the same conditions as in [23].Cited by: Regularity results for solutions of nonlinear elliptic equations with L 1, and a new application of the same theorem yields v M.

GiaquintaMultiple integrals in the calculus of variations and nonlinear elliptic systems. Annals of Mathematics Studies, vol.Princeton University Press, Princeton, NJ () Cited by: The methods also allow us to improve the known boundary regularity results for solutions to non-linear elliptic systems, and, in some cases, to improve the known interior singular sets estimates.

Lipschitz regularity results for nonlinear strictly elliptic equations and applications. Author links open overlay panel Olivier Ley a Vinh Duc Nguyen b.

Show more. Most of Lipschitz regularity results for nonlinear strictly elliptic equations are obtained for a suitable growth power of the nonlinearity with respect to the gradient variable Cited by: 4.

Journals & Books; Register Sign in. Frehse perloffphoto.comrity results for nonlinear elliptic systems and applications. Applied Mathematical Sciences, vol. Springer-Verlag, Berlin () An introduction to the regularity theory for elliptic systems, harmonic maps and minimal graphs (second ed.), Appunti.

Scuola Normale Superiore di Pisa Cited by: 1. Buy An Introduction to the Regularity Theory for Elliptic Systems, Harmonic Maps and Minimal Graphs (Publications of the Scuola Normale Superiore) on perloffphoto.com FREE SHIPPING on qualified ordersCited by: We establish a Caccioppoli-type inequality for a second-order degenerate elliptic systems of p-Laplacian perloffphoto.com a direct consequence, exploiting classical Campanato’s approach and the hole-filling technique due to Widman, we are able to prove a global regularity result Cited by: 3.

In this paper, we consider partial regularity for weak solutions of second-order nonlinear elliptic systems in Carnot groups. By the method of A-harmonic approximation, we establish optimal interior partial regularity of weak solutions to systems under controllable growth conditions with sub-quadratic growth in Carnot perloffphoto.com by: 1.

A global regularity result for some degenerate elliptic systems Article in Nonlinear Analysis · September with 30 Reads How we measure 'reads'. Existence results of positive solutions for nonlinear cooperative elliptic systems involving fractional Laplacian.

Alexander Quaas; and ; Aliang Xia; Regularity results for nonlocal equations by approximation, Arch. Ration. Mech. Existence and non-existence results for fully nonlinear elliptic systems Cited by: 3. For a class of subelliptic p-harmonic systems with the subcritical growth defined in Carnot groups, we prove that the weak solutions belong to Γloc1,α-regularity with respect to the Carnot.

Cite this chapter as: Bensoussan A., Frehse J. () Nonlinear Elliptic Systems Arising from the Theory of Semiconductors. In: Regularity Results for Nonlinear Elliptic Systems and perloffphoto.com: Alain Bensoussan, Jens Frehse.

Jul 01, · We prove existence and regularity results for weak solutions of non-linear elliptic systems with non-variational structure satisfying (p, q)-growth conditions.

In particular, we are able to prove higher differentiability results under a dimension-free gap between p and perloffphoto.com by: 1. Regularity Results for Nonlinear Elliptic Systems and Applications. Bensoussan A., Frehse J. () Strongly Coupled Elliptic Systems. In: Regularity Results for Nonlinear Elliptic Systems and Applications.

Applied Mathematical Sciences, vol Springer, Berlin, Heidelberg Author: Alain Bensoussan, Jens Frehse. Mar 30, · This paper deals with local regularity and local boundedness for very weak solutions of obstacle problems.

Local regularity and local boundedness properties are important among the regularity theories of nonlinear elliptic systems; see the recent monograph by Bensoussan and perloffphoto.com by: 8.

On Besov Regularity of Solutions to Nonlinear Elliptic Partial Differential Equations Article in Revista Matemática Complutense 26(1) · February with 37 Reads How we measure 'reads'. May 12, · Purchase Nonlinear Systems and Applications - 1st Edition.

Print Book & E-Book. ISBNAnalytic Methods for Approximate Solutions of Elliptic Free Boundary Problems Nonlinear Boundary Value Problems for Elliptic Systems in the Plane Oscillations Results for a Nonhomogeneous EquationBook Edition: 1. SIAM Journal on Mathematical Analysis.

Article Tools. Add to my favorites. Download Citations. Track Citations. Existence and regularity results for fully nonlinear equations with singularities. Mathematische Annalen The boundary value problem for quasilinear degenerate and singular elliptic systems.

Nonlinear Analysis: Theory Cited by: Apr 30, · We consider boundary regularity for weak solutions of second-order quasilinear elliptic systems under controllable growth condition, and obtain a general criterion for a weak solution to be regular in the neighborhood of a given boundary point.

Combined with existing results on interior partial regularity, this result yields an upper bound on the Hausdorff dimension of the singular set at the Cited by: 3. Abstract. The objective of this section is to present some results concerning a class of stochastic games for N players, obtained from the study of nonlinear elliptic systems, the Bellman system.

The method consists in applying the dynamic programming perloffphoto.com: Alain Bensoussan, Jens Frehse. Mariano Giaquinta (born Caltagirone, ), is an Italian mathematician mainly known for his contributions to the fields of calculus of variations and regularity theory of partial differential perloffphoto.com is currently professor of Mathematics at the Scuola Normale Superiore di Pisa and he is the director of De Giorgi center at perloffphoto.com mater: Università di Pisa.

Some results on regularity for solutions of non-linear elliptic systems and quasi-regular functions. Norman G.

Meyers and Alan and Yassin, Alzubaidi, Methods and Applications of Analysis, ; On the regularity and rigidity theorems and problems for the solutions of some class of the degenerate elliptic partial differential equations Li Cited by: These lectures are an introduction to the regularity theory of minimizers of variational integrals, in the calculus of variations and of solutions of nonlinear elliptic systems.

Topics covered include the Hilbert-space approach to boundary value problems and energy estimates. Regularity, symmetry and uniqueness of positive solutions to a nonlinear elliptic system.

Communications on Pure & Applied Analysis,12 (6): Cited by: 5. Nonlinear Differential Equations and Applications, 14 (), doi: Optimal interior partial regularity for nonlinear elliptic systems.

Optimal partial regularity results for nonlinear elliptic systems in Carnot perloffphoto.com: Annamaria Canino, Elisa De Giorgio, Berardino Sciunzi.

This is a survey of some recent contributions by the authors on global integrability properties of the gradient of solutions to boundary value problems for nonlinear elliptic equations in divergence form.

Minimal assumptions on the regularity of the ground domain and of the prescribed data are perloffphoto.com by: The present monograph is intended to provide a comprehensive and accessible introduction to the optimization of elliptic systems.

This area of mathematical research, which has many important applications in science and technology. has experienced an impressive development during the past two. Optimization of Elliptic Systems: Theory and Applications (Springer Monographs in Mathematics) - Kindle edition by Pekka Neittaanmaki, Jürgen Sprekels, Dan Tiba.

Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Optimization of Elliptic Systems: Theory and Applications (Springer Monographs in. In the second part, the existence and regularity theories of the Dirichlet problem for linear and nonlinear second order elliptic partial differential systems are introduced.

The book features appropriate materials and is an excellent textbook for graduate students. ANALYTIC REGULARITY FOR LINEAR ELLIPTIC SYSTEMS IN POLYGONS AND POLYHEDRA MARTIN COSTABEL, MONIQUE DAUGE AND SERGE NICAISE In this context, applications often involve boundaries that are not glob-ally analytic, but only piecewise analytic due to the presence of corners and edges, and therefore global elliptic regularity results cannot be.

Qualitative Analysis of Nonlinear Elliptic Partial Differential Pdf (Contemporary Mathematics and Its Applications Book Series) Vicentiu Radulescu The book provides a comprehensive introduction to the mathematical theory of nonlinear problems described by elliptic partial differential equations.The contributions cover a wide range of nonlinear elliptic and parabolic equations with applications to natural sciences and engineering.

Special topics are fluid dynamics, reaction-diffusion systems, bifurcation theory, maximal regularity, evolution equations, and .Elliptic operators are typical of potential theory, and they appear frequently in ebook and continuum mechanics.

Elliptic regularity implies that their solutions tend to be smooth functions (if the coefficients in the operator are smooth). Steady-state solutions to hyperbolic and parabolic equations generally solve elliptic equations.