The Resource Entire Solutions of Semilinear Elliptic Equations, by Ilya A. Kuzin, Stanislav I. Pohozaev, (electronic resource)

Entire Solutions of Semilinear Elliptic Equations, by Ilya A. Kuzin, Stanislav I. Pohozaev, (electronic resource)

Label
Entire Solutions of Semilinear Elliptic Equations
Title
Entire Solutions of Semilinear Elliptic Equations
Statement of responsibility
by Ilya A. Kuzin, Stanislav I. Pohozaev
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
Summary
Semilinear elliptic equations play an important role in many areas of mathematics and its applications to physics and other sciences. This book presents a wealth of modern methods to solve such equations, including the systematic use of the Pohozaev identities for the description of sharp estimates for radial solutions and the fibring method. Existence results for equations with supercritical growth and non-zero right-hand sides are given. Readers of this exposition will be advanced students and researchers in mathematics, physics and other sciences who want to learn about specific methods to tackle problems involving semilinear elliptic equations
Member of
http://library.link/vocab/creatorName
Kuzin, Ilya A
Dewey number
515
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • 2q_Qn1c1SJE
  • R0OWDSai2JU
Image bit depth
0
Language note
English
LC call number
QA299.6-433
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Pohozaev, Stanislav I.
Series statement
Progress in Nonlinear Differential Equations and Their Applications,
Series volume
33
http://library.link/vocab/subjectName
  • Global analysis (Mathematics)
  • Analysis
Label
Entire Solutions of Semilinear Elliptic Equations, by Ilya A. Kuzin, Stanislav I. Pohozaev, (electronic resource)
Instantiates
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Color
not applicable
Content category
text
Content type code
  • txt
Contents
§ 0 Notation -- 1 Classical Variational Method -- § 1 Preliminaries -- § 2 The Classical Method: Absolute Minimum -- § 3 Approximation by Bounded Domains -- § 4 Approximation for Problems on an Absolute Minimum -- § 5 The Monotonicity Method. Uniqueness of Solutions -- 2 Variational Methods for Eigenvalue Problems -- § 6 Abstract Theorems -- § 7 The Equation —?u + a(X) |u|p?2u ? ?b|u|q?2u = 0 -- § 8 Radial Solutions —?u + ?f(u) = 0 -- § 9 The Equation —?u ? ?|u|p?2u ? b|u|q?2u = 0 -- § 10 The Equation -- § 11 The Comparison Method for Eigenvalue Problems (Concentration Compactness) -- § 12 Homogeneous Problems -- 3 Special Variational Methods -- § 13 The Mountain Pass Method -- § 14 Behavior of PS-sequences. The Concentration Compactness (Comparison) Method -- § 15 A General Comparison Theorem. The Ground State. Examples for the Mountain Pass Method -- § 16 Behavior of PS-sequences in the Symmetric Case. Existence Theorems -- § 17 Nonradial Solutions of Radial Equations -- § 18 Methods of Bounded Domains Approximation -- 4 Radial Solutions: The ODE Method -- § 19 Basic Techniques of the ODE Method -- § 20 Autonomous Equations in the N-dimensional Case -- § 21 Decaying Solutions. The One-dimensional Case -- § 22 The Phase Plane Method. The Emden-Fowler Equatio -- § 23 Scaling -- § 24 Positive Solutions. The Shooting Method -- 5 Other Methods -- § 25 The Method of Upper and Lower Solutions -- § 26 The Leray-Schauder Method -- § 27 The Method of A Priori Estimates -- § 28 The Fibering Method. Existence of Infinitely Many Solutions -- § 29 Nonexistence Results -- Appendices -- A Spaces and Functionals -- B The Strauss Lemma -- C Invariant Spaces -- D The Schwarz Rearrangement -- E The Mountain Pass Method -- References
Dimensions
unknown
Edition
1st ed. 1997.
Extent
1 online resource (260 p.)
File format
multiple file formats
Form of item
online
Isbn
9783034892506
Level of compression
uncompressed
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-0348-9250-6
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3400000000101871
  • (SSID)ssj0001296578
  • (PQKBManifestationID)11768398
  • (PQKBTitleCode)TC0001296578
  • (PQKBWorkID)11353601
  • (PQKB)11775188
  • (DE-He213)978-3-0348-9250-6
  • (MiAaPQ)EBC3087484
  • (EXLCZ)993400000000101871
Label
Entire Solutions of Semilinear Elliptic Equations, by Ilya A. Kuzin, Stanislav I. Pohozaev, (electronic resource)
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Color
not applicable
Content category
text
Content type code
  • txt
Contents
§ 0 Notation -- 1 Classical Variational Method -- § 1 Preliminaries -- § 2 The Classical Method: Absolute Minimum -- § 3 Approximation by Bounded Domains -- § 4 Approximation for Problems on an Absolute Minimum -- § 5 The Monotonicity Method. Uniqueness of Solutions -- 2 Variational Methods for Eigenvalue Problems -- § 6 Abstract Theorems -- § 7 The Equation —?u + a(X) |u|p?2u ? ?b|u|q?2u = 0 -- § 8 Radial Solutions —?u + ?f(u) = 0 -- § 9 The Equation —?u ? ?|u|p?2u ? b|u|q?2u = 0 -- § 10 The Equation -- § 11 The Comparison Method for Eigenvalue Problems (Concentration Compactness) -- § 12 Homogeneous Problems -- 3 Special Variational Methods -- § 13 The Mountain Pass Method -- § 14 Behavior of PS-sequences. The Concentration Compactness (Comparison) Method -- § 15 A General Comparison Theorem. The Ground State. Examples for the Mountain Pass Method -- § 16 Behavior of PS-sequences in the Symmetric Case. Existence Theorems -- § 17 Nonradial Solutions of Radial Equations -- § 18 Methods of Bounded Domains Approximation -- 4 Radial Solutions: The ODE Method -- § 19 Basic Techniques of the ODE Method -- § 20 Autonomous Equations in the N-dimensional Case -- § 21 Decaying Solutions. The One-dimensional Case -- § 22 The Phase Plane Method. The Emden-Fowler Equatio -- § 23 Scaling -- § 24 Positive Solutions. The Shooting Method -- 5 Other Methods -- § 25 The Method of Upper and Lower Solutions -- § 26 The Leray-Schauder Method -- § 27 The Method of A Priori Estimates -- § 28 The Fibering Method. Existence of Infinitely Many Solutions -- § 29 Nonexistence Results -- Appendices -- A Spaces and Functionals -- B The Strauss Lemma -- C Invariant Spaces -- D The Schwarz Rearrangement -- E The Mountain Pass Method -- References
Dimensions
unknown
Edition
1st ed. 1997.
Extent
1 online resource (260 p.)
File format
multiple file formats
Form of item
online
Isbn
9783034892506
Level of compression
uncompressed
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-0348-9250-6
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3400000000101871
  • (SSID)ssj0001296578
  • (PQKBManifestationID)11768398
  • (PQKBTitleCode)TC0001296578
  • (PQKBWorkID)11353601
  • (PQKB)11775188
  • (DE-He213)978-3-0348-9250-6
  • (MiAaPQ)EBC3087484
  • (EXLCZ)993400000000101871

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