Quasilinear Elliptic Equations With Degenerations And Singularities
Download Quasilinear Elliptic Equations With Degenerations And Singularities full books in PDF, epub, and Kindle. Read online free Quasilinear Elliptic Equations With Degenerations And Singularities ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads.
Author |
: Pavel Drábek |
Publisher |
: Walter de Gruyter |
Total Pages |
: 233 |
Release |
: 2011-07-22 |
ISBN-10 |
: 9783110804775 |
ISBN-13 |
: 3110804778 |
Rating |
: 4/5 (75 Downloads) |
Synopsis Quasilinear Elliptic Equations with Degenerations and Singularities by : Pavel Drábek
The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such as optimization, control theory, systems theory, mechanics, engineering, and other sciences. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of nonlinear analysis. Contributions which are on the borderline of nonlinear analysis and related fields and which stimulate further research at the crossroads of these areas are particularly welcome. Please submit book proposals to Jürgen Appell.
Author |
: Dorothee Haroske |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 494 |
Release |
: 2003-02-24 |
ISBN-10 |
: 3764369353 |
ISBN-13 |
: 9783764369354 |
Rating |
: 4/5 (53 Downloads) |
Synopsis Function Spaces, Differential Operators and Nonlinear Analysis by : Dorothee Haroske
This volume is dedicated to our teacher and friend Hans Triebel. The core of the book is based on lectures given at the International Conference "Function Spaces, Differential Operators and Nonlinear Analysis" (FSDONA--01) held in Teistungen, Thuringia / Germany, from June 28 to July 4,2001, in honour of his 65th birthday. This was the fifth in a series of meetings organised under the same name by scientists from Finland (Helsinki, Oulu) , the Czech Republic (Prague, Plzen) and Germany (Jena) promoting the collaboration of specialists in East and West, working in these fields. This conference was a very special event because it celebrated Hans Triebel's extraordinary impact on mathematical analysis. The development of the mod ern theory of function spaces in the last 30 years and its application to various branches in both pure and applied mathematics is deeply influenced by his lasting contributions. In a series of books Hans Triebel has given systematic treatments of the theory of function spaces from different points of view, thus revealing its interdependence with interpolation theory, harmonic analysis, partial differential equations, nonlinear operators, entropy, spectral theory and, most recently, anal ysis on fractals. The presented collection of papers is a tribute to Hans Triebel's distinguished work. The book is subdivided into three parts: • Part I contains the two invited lectures by O.V. Besov (Moscow) and D.E. Edmunds (Sussex) having a survey character and honouring Hans Triebel's contributions.
Author |
: Thi Thu Huong Nguyen |
Publisher |
: |
Total Pages |
: 0 |
Release |
: 2014 |
ISBN-10 |
: OCLC:931558518 |
ISBN-13 |
: |
Rating |
: 4/5 (18 Downloads) |
Synopsis Existence of Solutions of Quasilinear Elliptic Equations on Manifolds with Conic Points by : Thi Thu Huong Nguyen
Existence and regularity of solutions of quasilinear elliptic equations in nonsmooth domains have been interesting topics in the development of partial differential equations. The existence of finite-energy solutions of higher-order equations, also those with degenerations and singularities, can be shown by theories of monotone operators and topological methods. There are few results about singular solutions of second-order equations involving the p-Laplacian with the Dirac distribution on the right-hand side. So far the existence of singular solutions of higher-order equations with a presc ...
Author |
: Laurent Veron |
Publisher |
: World Scientific |
Total Pages |
: 474 |
Release |
: 2017-05-05 |
ISBN-10 |
: 9789814730341 |
ISBN-13 |
: 9814730343 |
Rating |
: 4/5 (41 Downloads) |
Synopsis Local And Global Aspects Of Quasilinear Degenerate Elliptic Equations: Quasilinear Elliptic Singular Problems by : Laurent Veron
This book is devoted to the study of elliptic second-order degenerate quasilinear equations, the model of which is the p-Laplacian, with or without dominant lower order reaction term. Emphasis is put on three aspects:
Author |
: Laurent Veron |
Publisher |
: World Scientific Publishing Company |
Total Pages |
: 457 |
Release |
: 2016-09-30 |
ISBN-10 |
: 9814730327 |
ISBN-13 |
: 9789814730327 |
Rating |
: 4/5 (27 Downloads) |
Synopsis Local and Global Aspects of Quasilinear Degenerate Elliptic Equations by : Laurent Veron
This book is devoted to the study of elliptic second-order degenerate quasilinear equations, the model of which is the p-Laplacian, with or without dominant lower order reaction term. Emphasis is put on three aspects: The existence of separable singular solutions enables the description of isolated singularities of general solutions. The construction of singular solutions is delicate and cannot be done without the understanding of the spherical p-harmonic eigenvalue problem. When the equations are considered on a Riemannian manifold, existence or non-existence of solutions depends on geometric assumptions such as the curvature. A priori estimates and Liouville type problems are analyzed. When the equations are considered with a forcing term in the class of measures, their study is strongly linked to the properties of a class of potentials appearing in harmonic analysis such as the Riesz, the Bessel or the Wolff potentials and to their associated capacities. Necessary and sufficient conditions for existence of solutions link the continuity of the measure with respect to some appropriate capacity.
Author |
: Sergiu Aizicovici |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 84 |
Release |
: 2008 |
ISBN-10 |
: 9780821841921 |
ISBN-13 |
: 0821841920 |
Rating |
: 4/5 (21 Downloads) |
Synopsis Degree Theory for Operators of Monotone Type and Nonlinear Elliptic Equations with Inequality Constraints by : Sergiu Aizicovici
In this paper the authors examine the degree map of multivalued perturbations of nonlinear operators of monotone type and prove that at a local minimizer of the corresponding Euler functional, this degree equals one.
Author |
: Le Dung |
Publisher |
: |
Total Pages |
: 25 |
Release |
: 1993 |
ISBN-10 |
: OCLC:897904119 |
ISBN-13 |
: |
Rating |
: 4/5 (19 Downloads) |
Synopsis On a Class of Singular Quasilinear Elliptic Equations with General Strucureand Distribution Data by : Le Dung
Author |
: Elina Shishkina |
Publisher |
: Academic Press |
Total Pages |
: 594 |
Release |
: 2020-07-24 |
ISBN-10 |
: 9780128204078 |
ISBN-13 |
: 0128204079 |
Rating |
: 4/5 (78 Downloads) |
Synopsis Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics by : Elina Shishkina
Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics connects difficult problems with similar more simple ones. The book's strategy works for differential and integral equations and systems and for many theoretical and applied problems in mathematics, mathematical physics, probability and statistics, applied computer science and numerical methods. In addition to being exposed to recent advances, readers learn to use transmutation methods not only as practical tools, but also as vehicles that deliver theoretical insights. - Presents the universal transmutation method as the most powerful for solving many problems in mathematics, mathematical physics, probability and statistics, applied computer science and numerical methods - Combines mathematical rigor with an illuminating exposition full of historical notes and fascinating details - Enables researchers, lecturers and students to find material under the single "roof"
Author |
: Michail Borsuk |
Publisher |
: Elsevier |
Total Pages |
: 538 |
Release |
: 2006-01-12 |
ISBN-10 |
: 9780080461731 |
ISBN-13 |
: 0080461735 |
Rating |
: 4/5 (31 Downloads) |
Synopsis Elliptic Boundary Value Problems of Second Order in Piecewise Smooth Domains by : Michail Borsuk
The book contains a systematic treatment of the qualitative theory of elliptic boundary value problems for linear and quasilinear second order equations in non-smooth domains. The authors concentrate on the following fundamental results: sharp estimates for strong and weak solutions, solvability of the boundary value problems, regularity assertions for solutions near singular points.Key features:* New the Hardy – Friedrichs – Wirtinger type inequalities as well as new integral inequalities related to the Cauchy problem for a differential equation.* Precise exponents of the solution decreasing rate near boundary singular points and best possible conditions for this.* The question about the influence of the coefficients smoothness on the regularity of solutions.* New existence theorems for the Dirichlet problem for linear and quasilinear equations in domains with conical points.* The precise power modulus of continuity at singular boundary point for solutions of the Dirichlet, mixed and the Robin problems.* The behaviour of weak solutions near conical point for the Dirichlet problem for m – Laplacian.* The behaviour of weak solutions near a boundary edge for the Dirichlet and mixed problem for elliptic quasilinear equations with triple degeneration.* Precise exponents of the solution decreasing rate near boundary singular points and best possible conditions for this.* The question about the influence of the coefficients smoothness on the regularity of solutions.* New existence theorems for the Dirichlet problem for linear and quasilinear equations in domains with conical points.* The precise power modulus of continuity at singular boundary point for solutions of the Dirichlet, mixed and the Robin problems.* The behaviour of weak solutions near conical point for the Dirichlet problem for m - Laplacian.* The behaviour of weak solutions near a boundary edge for the Dirichlet and mixed problem for elliptic quasilinear equations with triple degeneration.
Author |
: John Neuberger |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 298 |
Release |
: 2004 |
ISBN-10 |
: 9780821833391 |
ISBN-13 |
: 0821833391 |
Rating |
: 4/5 (91 Downloads) |
Synopsis Variational Methods: Open Problems, Recent Progress, and Numerical Algorithms by : John Neuberger
This volume contains the proceedings of the conference on Variational Methods: Open Problems, Recent Progress, and Numerical Algorithms. It presents current research in variational methods as applied to nonlinear elliptic PDE, although several articles concern nonlinear PDE that are nonvariational and/or nonelliptic. The book contains both survey and research papers discussing important open questions and offering suggestions on analytical and numerical techniques for solving those open problems. It is suitable for graduate students and research mathematicians interested in elliptic partial differential equations.