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  • 1
    Online Resource
    Online Resource
    Amsterdam :Elsevier,
    UID:
    almahu_9949697811402882
    Format: 1 online resource (631 p.)
    ISBN: 1-280-63615-7 , 9786610636150 , 0-08-046382-7
    Series Statement: Handbook of differential equations ; 3
    Content: This handbook is volume III in a series devoted to stationary partial differential quations. Similarly as volumes I and II, it is a collection of self contained state-of-the-art surveys written by well known experts in the field. The topics covered by this handbook include singular and higher order equations, problems near critically, problems with anisotropic nonlinearities, dam problem, T-convergence and Schauder-type estimates. These surveys will be useful for both beginners and experts and speed up the progress of corresponding (rapidly developing and fascinating) areas of mathematics.
    Note: Description based upon print version of record. , Front cover; Table of contents; Preface; List of Contributors; Contents of Volume I; Contents of Volume II; Chapter 1. Elliptic Equations with Anisotropic Nonlinearity and Nonstandard Growth Conditions; 1. Introduction; 2. The Lebesgue and Sobolev spaces with variable exponents; 3. Existence theorems; 4. Uniqueness theorems; 5. Localization caused by the diffusion-absorption balance; 6. Directional localization caused by anisotropic diffusion; 7. Problems on unbounded domains; 8. Systems of elliptic equations; 9. Examples: localization in borderline cases; Acknowledgements; References , Chapter 2. A Handbook of Gamma-ConvergencePreface; 1. Introduction; 2. General theory of Gamma-convergence; 3. Localization methods; 4. Local integral functionals on Sobolev spaces; 5. Homogenization of integral functionals; 6. Perforated domains and relaxed Dirichlet problems; 7. Phase-transition problems; 8. Concentration problems; 9. Dimension-reduction problems; 10. Approximation of free-discontinuity problems; 11. Continuum limits of lattice systems; Note to the bibliography; References; Chapter 3. Bubbling in Nonlinear Elliptic Problems Near Criticality; 1. Introduction , 2. Nearly critical bubbling: the proof of Theorem 1.13. Solvability of slightly supercritical problems and the topology of the domain; 4. The Brezis-Nirenberg problem in dimension N=3: the proof of Theorem 1.2; 5. Liouville-type equations; Acknowledgement; References; Chapter 4. Singular Elliptic and Parabolic Equations; 1. Introduction; 2. The spectrum of the linear eigenvalue problem; 3. Existence theorems in the general case alpha〉0; 4. Existence of solutions via sub- and supersolutions; 5. Uniqueness of positive solutions for sublinear problems; 6. Regularity and boundary behavior , 7. Differentiability for some singular nonlinear problems8. The associated parabolic problem: linearized stability; 9. Stabilization; 10. Applications; 11. Variational methods: some multiplicity results; 12. Results for the radial and the one-dimensional problem; 13. Free boundary solutions: existence and properties; Acknowledgements; References; Chapter 5. Schauder-Type Estimates and Applications; 1. Introduction; 2. Hoelder spaces; 3. Interior estimates for the Laplacian; 4. Perturbation of coefficients; 5. Fuchsian operators on C2+alpha domains; 6. Applications; References , Chapter 6. The Dam ProblemIntroduction; 1. A unified formulation of the dam problem; 2. The dam problem with Dirichlet boundary condition; 3. The dam problem with leaky boundary condition; Acknowledgement; References; Chapter 7. Nonlinear Eigenvalue Problems for Higher-Order Model Equations; 1. Introduction; 2. Decreasing nonlinearity f(u); 3. A superlinear bifurcation problem; 4. A sublinear bifurcation problem; 5. A multiscale analysis; Acknowledgements; References; Author Index; Subject Index , English
    Additional Edition: ISBN 0-444-52846-6
    Language: English
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    UID:
    gbv_630027102
    Format: Online Ressource , illustrations.
    Edition: 1st ed.
    Edition: Online-Ausg. 2007 Elsevier e-book collection on ScienceDirect Electronic reproduction; Mode of access: World Wide Web
    ISBN: 0080461077 , 9780080461076 , 0080463827 , 9780080463827 , 1281012866 , 9781281012869 , 1280641665 , 9781280641664 , 0444511261 , 0444528466 , 9780444530363 , 9780444517432 , 9780444511263 , 9780444520456 , 9780444528469 , 044451743X , 0444520457 , 0444530363
    Series Statement: Handbook of Differential Equations: Stationary Partial Differential Equations 2
    Content: A collection of self contained state-of-the art surveys. The authors have made an effort to achieve readability for mathematicians and scientists from other fields, for this series of handbooks to be a new reference for research, learning and teaching. - written by well-known experts in the field - self contained volume in series covering one of the most rapid developing topics in mathematics
    Content: A collection of self contained state-of-the art surveys. The authors have made an effort to achieve readability for mathematicians and scientists from other fields, for this series of handbooks to be a new reference for research, learning and teaching. - written by well-known experts in the field - self contained volume in series covering one of the most rapid developing topics in mathematics
    Note: Includes bibliographical references and indexes. - Print version record , PrefaceContributors -- 1. F. Brock: Rearrangements and applications to symmetry problems in PDE -- 2. A. Farina: Liouville-type theorems for elliptic problems -- 3. M. Guedda: Similarity and pseudosimilarity solutions of degenerate boundary layer equations -- 4. N. Kenmochi: Monotonicity and compactness methods for nonlinear variational inequalities -- 5. H. Morimoto: Stationary Navier-Stokes flow in 2-D Channels involving the general outflow condition -- 6. P. Pucci and J. Serrin: Maximum principles for elliptic partial differential equations -- 7. V. Radelescu: Singular phenomena in nonlinear elliptic problems from blow-up boundary solutions to equations with singular nonlinearities -- Index. , Preface -- Contributors -- 1. F. Brock: Rearrangements and applications to symmetry problems in PDE -- 2. A. Farina: Liouville-type theorems for elliptic problems -- 3. M. Guedda: Similarity and pseudosimilarity solutions of degenerate boundary layer equations -- 4. N. Kenmochi: Monotonicity and compactness methods for nonlinear variational inequalities -- 5. H. Morimoto: Stationary Navier-Stokes flow in 2-D Channels involving the general outflow condition -- 6. P. Pucci and J. Serrin: Maximum principles for elliptic partial differential equations -- 7. V. Radelescu: Singular phenomena in nonlinear elliptic problems from blow-up boundary solutions to equations with singular nonlinearities -- Index. , Electronic reproduction; Mode of access: World Wide Web , English
    Additional Edition: ISBN 044451743X
    Additional Edition: ISBN 0444511261
    Additional Edition: ISBN 0444520457
    Additional Edition: ISBN 0444528466
    Additional Edition: ISBN 0444530363
    Additional Edition: ISBN 1281012866
    Additional Edition: Erscheint auch als Druck-Ausgabe Handbook of differential equations: stationary partial differential equations ; Vol. 4 Amsterdam [u.a.] : Elsevier North Holland, 2007 ISBN 9780444530363
    Language: English
    Subjects: Mathematics
    RVK:
    RVK:
    Keywords: Gewöhnliche Differentialgleichung ; Electronic books
    URL: Volltext  (lizenzpflichtig)
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  • 3
    UID:
    gbv_527981168
    Format: XV, 610 S. , Ill., graph. Darst.
    Edition: 1. ed.
    ISBN: 9780444530363
    Note: Literaturangaben
    In: Vol. 4
    Additional Edition: Erscheint auch als Online-Ausgabe Handbook of differential equations Amsterdam : Elsevier/North Holland, 2004 ISBN 0080461077
    Additional Edition: ISBN 9780080461076
    Additional Edition: ISBN 0080463827
    Additional Edition: ISBN 9780080463827
    Additional Edition: ISBN 1281012866
    Additional Edition: ISBN 9781281012869
    Additional Edition: ISBN 1280641665
    Additional Edition: ISBN 9781280641664
    Additional Edition: ISBN 0444511261
    Additional Edition: ISBN 0444528466
    Additional Edition: ISBN 9780444530363
    Additional Edition: ISBN 9780444517432
    Additional Edition: ISBN 9780444511263
    Additional Edition: ISBN 9780444520456
    Additional Edition: ISBN 9780444528469
    Additional Edition: ISBN 044451743X
    Additional Edition: ISBN 0444520457
    Additional Edition: ISBN 0444530363
    Language: English
    Library Location Call Number Volume/Issue/Year Availability
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