Nonlinear functional analysis and its applications, Part 1 (Google eBook)

Front Cover
American Mathematical Soc.
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Contents

A Note on the Regularity of Solutions Obtained by Global Topological Methods
1
Asymmetric Rotating Wave Solutions of ReactionDiffusion Equations
7
Parabolic Evolution Equations with Nonlinear Boundary Conditions
17
Nonlinear Oscillations with Minimal Period
29
On Steady NavierStokes Flow Past a Body in the Plane
37
On a Contraction Theorem and Applications
51
Dual Variational Principles for Eigenvalue Problems
55
Generalized Elliptic Solutions of the Dirichlet Problem for nDimensional MongeAmpère Equations
73
A Global Fixed Point Theorem for Symplectic Maps and Subharmonic Solutions of Hamiltonian Equations on Tori
283
Harmonic Maps from the Disk into the Euclidean NSphere
301
Nonlinear Semigroups and Evolution Governed by Accretive Operators
305
A Theorem of Mather and the Local Structure of Nonlinear Fredholm Maps
339
Remarks on S1 Symmetries and a Special Degree for S1Invariant Gradient Mappings
353
Abstract Differential Equations Maximal Regularity and Linearization
359
Positive Solutions for Some Classes of Semilinear Elliptic Problems
371
The Boundary of the Support of the Solutions
381

Existence and Containment of Solutions to Parabolic Systems
103
Periodic Hamiltonian Trajectories on Starshaped Manifolds
109
Integrability of Nonlinear Differential Equations via Functional Analysis
117
Extinction of the Solutions of Some Quasilinear Elliptic Problems of Arbitrary Order
125
On a System of Degenerate Diffusion Equations
133
Pointwise Continuity for a Weak Solution of a Parabolic Obstacle Problem
141
A Note on Iteration for Pseudoparabolic Equations of Fissured Media Type
147
Homogenization of TwoPhase Flow Equations
157
Some Variational Problems with Lack of Compactness
165
Degree Theory for Nonlinear Mappings
203
Construction of Periodic Solutions of Periodic Contractive Evolution Systems from Bounded Solutions
227
An Abstract Critical Point Theorem for Strongly Indefinite Functionals
237
Uniqueness of Positive Solutions for a Sublinear Dirichlet Problem
243
Applications of Homology Theory to Some Problems in Differential Equations
253
On the Continuation Method and the Method of Monotone Iterations
263
Existence Theorems for Superlinear Elliptic Dirichlet Problems in Exterior Domains
271
An Index Theory for Periodic Solutions of Convex Hamiltonian Systems
395
An Extension of the LeraySchauder Degree for Fully Nonlinear Elliptic Problems
425
Nonlinear Spectral Manifolds for the NavierStokes Equations
439
Regularity Criteria for Weak Solutions of the NavierStokes System
449
A Strongly Nonlinear Elliptic Problem in OrliczSobolev Spaces
455
Nontrivial Solutions of Semilinear Elliptic Equations of Fourth Order
463
Approximation in Sobolev Spaces and Nonlinear Potential Theory
473
Some Free Boundary Problems for PredatorPrey Systems with Nonlinear Diffusion
481
On Positive Solutions of Semilinear PeriodicParabolic Problems
489
The Topological Degree at a Critical Point of MountainPass Type
501
On a Conjecture of Lohwater About Asymptotic Values of Meromorphic Functions
511
Parametrix of b
521
Applications of NashMoser Theory to Nonlinear Cauchy Problems
525
Structure and Topological Dimension of Global Branches of Solutions
529
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