Del 33 i serien Progress in Nonlinear Differential Equations and Their Applications

Entire Solutions of Semilinear Elliptic Equations

Inbunden, Engelska, 1997

AvIlya A. Kuzin,Stanislav I. Pohozaev

1 449 kr

Beställningsvara. Skickas inom 10-15 vardagar. Fri frakt för medlemmar vid köp för minst 249 kr.

Finns i fler format (1)

Häftad

1 449 kr

Skickas inom 10-15 vardagar

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.

Produktinformation

Utgivningsdatum1997-09-23
Mått155 x 235 x 19 mm
Vikt559 g
FormatInbunden
SpråkEngelska
SerieProgress in Nonlinear Differential Equations and Their Applications
Antal sidor260
Upplaga1997
FörlagBirkhauser Verlag AG
ISBN9783764353230

Tillhör följande kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

§ 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.

Mer från samma serie

Regularity Theory for Mean Curvature Flow

Klaus Ecker

Inbunden, 2003

1 439 kr

Del 6

Infinite Dimensional Morse Theory and Multiple Solution Problems

K.C. Chang

Inbunden, 1992

2 439 kr

Del 7

Nonlinear Diffusion Equations and Their Equilibrium States, 3

N.G Lloyd, M.G. Ni, L.A. Peletier, J. Serrin

Inbunden, 1991

2 159 kr

Del 10

Periodic Solutions of Singular Lagrangian Systems

A. Ambrosetti, V. Coti-Zelati

Inbunden, 1993

1 439 kr

Topics in the Mathematical Modelling of Composite Materials

Robert Kohn, Andrej V. Cherkaev, Robert Kohn

Inbunden, 1997

2 869 kr

Nonlinear Waves and Weak Turbulence

FITZMAURICE, GURARIE, MCCAUGHAN, WOYCZYNSKI

Inbunden, 1993

2 159 kr

Del 8

Introduction to Γ-Convergence

Gianni Dal Maso

Inbunden, 1993

2 879 kr

Del 13

Ginzburg-Landau Vortices

Fabrice Bethuel, Haim Brezis, Frederic Helein

Häftad, 1994

1 439 kr

Del 28

Models of Phase Transitions

Augusto Visintin

Inbunden, 1996

1 869 kr

Del 57

Regularity Theory for Mean Curvature Flow

Klaus Ecker

Häftad, 2004

1 579 kr

Du kanske också är intresserad av

Del 33