**Proceedings of Symposia in Pure Mathematics**

Volume: 45;
1986;
577 pp;
Hardcover

MSC: Primary 00;
Secondary 35; 47; 58

Print ISBN: 978-0-8218-1472-7

Product Code: PSPUM/45.2

List Price: $114.00

AMS Member Price: $91.20

MAA Member Price: $102.60

**Electronic ISBN: 978-0-8218-9338-8
Product Code: PSPUM/45.2.E**

List Price: $114.00

AMS Member Price: $91.20

MAA Member Price: $102.60

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# Nonlinear Functional Analysis and Its Applications, Part 2

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*Felix E. Browder*

# Table of Contents

## Nonlinear Functional Analysis and Its Applications, Part 2

- Contents–Part 2 vii8 free
- Remarks on the Euler and Navier-Stokes equations in R[SUP(2)] 114 free
- Nonlinear equations of evolution in Banach spaces 922
- Geometrical properties of level sets of solutions to elliptic problems 2538
- Remarks about St. Venant solutions in finite elasticity 3750
- Nonexpansive mappings in product spaces, set-valued mappings and k-uniform rotundity 5164
- A new operator theoretic algorithm for solving first order scalar quasilinear equations 6578
- A general interpolation theorem of Marcinkiewicz type 7790
- An easy proof of the interior gradient bound for solutions to the prescribed mean cuvature equation 8194
- On application of the monotone iteration scheme to wave and biharmonic equations 91104
- Unilateral obstacle problem for strongly nonlinear second order elliptic operators 95108
- Product formula, imaginary resolvents and modified Feynman integral 109122
- Quasilinear elliptic equations with nonlinear boundary conditions 113126
- Some L[sup(P)] inequalities and their applications to fixed point theorems of uniformly Lipschitzian mappings 119132
- Some remarks on the optimal control of singular distributed systems 127140
- Global continuation and complicated trajectories for periodic solutions of a differential-delay equation 155168
- On quasiconvexity in the calculus of variations 169182
- Asymptotic growth for evolutionary surfaces of prescribed mean curvature 175188
- L[sup(2)]-decay of solutions of the Navier-Stokes equations in the exterior domain 179192
- On the index and the covering dimension of the solution set of semilinear equations 183196
- Pointwise potential estimates for elliptic obstacle problems 207220
- On singularities of solutions to nonlinear elliptic systems of partial differential equations 219232
- Uniqueness, nonuniqueness and related questions of nonlinear elliptic andparabolic equations 229242
- Global solutions of the hyperbolic Yang-Mills equations and their sharp asymptotics 243256
- Surjectivity of generalized φ-accretive operators 255268
- Approximation-solvability of periodic boundary value problems via the A-proper mapping theory 261274
- On a generalization of the Fuller index 283296
- Minimax methods for indefinite functionals 287300
- Nonlinear semigroups, holomorphic mappings and integral equations 307320
- Rearrangement of functions and reverse Jensen inequalities 325338
- Bifurcation and even-like vector fields 331344
- Classical and quantized invariant wave equations—progress and problems 341354
- Resonance and the stationary Navier-Stokes equations 359372
- On removable point singularities of coupled Yang-Mills fields 371384
- Two-function minimax theorems and variational inequalities for functions on compact and noncompact sets, with some comments on fixed-point theorems 377390
- On approximating fixed points 393406
- Symmetry breaking and nondegenerate solutions of semilinear elliptic equations 397410
- A generalized Palais-Smale condition and applications 401414
- Existence and nonuniqueness of solutions of a noncoercive elliptic variational inequality 413426
- Fixed point, minimax, and Hahn-Banach theorems 419432
- Remarks on the Euler equations 429442
- Infinite-dimensional dynamical systems in fluid mechanics 431444
- Existence of symmetric homoclinic orbits for systems of Euler-Lagrange equations 447460
- Graphs with prescribed curvature 461474
- Navier-Stokes equations for compressible fluids: global estimates and periodic solutions 467480
- Weak and strong singularities of nonlinear elliptic equations 477490
- Regularity of weak solutions of the Navier-Stokes equations 497510
- A monotone convergence theorem in abstract Banach spaces 505518
- On a class of strongly nonlinear Dirichlet boundary-value problems: beyond Pohofcaev's results 521534
- Topological degree and global bifurcation 527540
- Generalized idea of Synge and its applications to topology and calculus of variations in positively curved manifolds 533546
- On extending the Conley-Zehnder fixed point theorem to other manifolds 541554
- L[sup(P)]-energy and blow-up for a semilinear heat equation 545558
- A geometric theory of bifurcation 553566
- Some problems on degenerate quasilinear parabolic equations 565578
- Quasi-homogeneous microlocal analysis for nonlinear partial differential equations 573586