**Proceedings of Symposia in Pure Mathematics**

Volume: 45;
1986;
540 pp;
Hardcover

MSC: Primary 00;
Secondary 35; 47; 58

**Print ISBN: 978-0-8218-1471-0
Product Code: PSPUM/45.1**

List Price: $112.00

AMS Member Price: $89.60

MAA Member Price: $100.80

**Electronic ISBN: 978-0-8218-9337-1
Product Code: PSPUM/45.1.E**

List Price: $105.00

AMS Member Price: $84.00

MAA Member Price: $94.50

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# Nonlinear Functional Analysis and Its Applications, Part 1

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*Felix E. Browder*

# Table of Contents

## Nonlinear Functional Analysis and Its Applications, Part 1

- Contents–Part 1 v6 free
- Foreword xi12 free
- A note on the regularity of solutions obtained by global topological methods 116 free
- Asymmetric rotating wave solutions of reaction-diffusion equations 722
- Parabolic evolution equations with nonlinear boundary conditions 1732
- Nonlinear oscillations with minimal period 2944
- On steady Navier–Stokes flow past a body in the plane 3752
- On a contraction theorem and applications 5166
- Dual variational principles for eigenvalue problems 5570
- Generalized elliptic solutions of the Dirichlet problem for n-dimensional Monge–Ampère equations 7388
- Existence and containment of solutions to parabolic systems 103118
- Periodic Hamiltonian trajectories on starshaped manifolds 109124
- Integrability of nonlinear differential equations via functional analysis 117132
- Extinction of the solutions of some quasilinear elliptic problems of arbitrary order 125140
- On a system of degenerate diffusion equations 133148
- Pointwise continuity for a weak solution of a parabolic obstacle problem 141156
- A note on iteration for pseudoparabolic equations of fissured media type 147162
- Homogenization of two-phase flow equations 157172
- Some variational problems with lack of compactness 165180
- Degree theory for nonlinear mappings 203218
- Construction of periodic solutions of periodic contractive evolution systems from bounded solutions 227242
- An abstract critical point theorem for strongly indefinite functional 237252
- Uniqueness of positive solutions for a sublinear Dirichlet problem 243258
- Applications of homology theory to some problems in differential equations 253268
- On the continuation method and the method of monotone iterations 263278
- Existence theorems for superlinear elliptic Dirichlet problems in exterior domains 271286
- A global fixed point theorem for symplectic maps and subharmonic solutions of Hamiltonian equations on tori 283298
- Harmonic maps from the disk into the Euclidean N-sphere 301316
- Nonlinear semigroups and evolution governed by accretive operators 305320
- A theorem of Mather and the local structure of nonlinear Fredholm maps 339354
- Remarks on S[sup(1)] symmetries and a special degree for S[sup(1)]-invariant gradient mappings 353368
- Abstract differential equations, maximal regularity, and linearization 359374
- Positive solutions for some classes of semilinear elliptic problems 371386
- Elliptic and parabolic quasilinear equations giving rise to a free boundary: the boundary of the support of the solutions 381396
- An index theory for periodic solutions of convex Hamiltonian systems 395410
- An extension of the Leray–Schauder degree for fully nonlinear elliptic problems 425440
- Nonlinear special manifolds for the Navier–Stokes equations 439454
- Regularity criteria for weak solutions of the Navier–Stokes system 449464
- A strongly nonlinear elliptic problem in Orlicz–Sobolev spaces 455470
- Nontrivial solutions of semilinear elliptic equations of fourth order 463478
- Approximation in Sobolev spaces and nonlinear potential theory 473488
- Some free boundary problems for predator-prey systems with nonlinear diffusion 481496
- On positive solutions of semilinear periodic-parabolic problems 489504
- The topological degree at a critical point of mountain-pass type 501516
- On a conjecture of Lohwater about asymptotic values of meromorphic functions 511526
- Parametrix of [sub(b)] 521536
- Applications of Nash–Moser theory to nonlinear Cauchy problems 525540
- Nonlinear multiparametric equations: structure and topological dimension of global branches of solutions 529544