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CONTENTS

Fixed point, minimax, and Hahn-Banach theorems

WATARU TAKAHASHI 419

Remarks on the Euler equations

R. TEMAM 429

Infinite-dimensional dynamical systems in fluid mechanics

R. TEMAM 431

Existence of symmetric homoclinic orbits for systems of Euler-Lagrange

equations

J. F. TOLAND 447

Graphs with prescribed curvature

NEIL S. TRUDINGER 461

Navier-Stokes equations for compressible fluids: global estimates and peri-

odic solutions

ALBERTO VALLI 467

Weak and strong singularities of nonlinear elliptic equations

LAURENT VERON 477

Regularity of weak solutions of the Navier-Stokes equations

W O L F VON WAH L 497

A monotone convergence theorem in abstract Banach spaces

IOAN I. VRABIE 505

On a class of strongly nonlinear Dirichlet boundary-value problems: beyond

Pohofcaev's results

PIERRE A. VUILLERMOT 521

Topological degree and global bifurcation

JEFFRE Y R. L. WEB B and STEWART C. WELSH 527

Generalized idea of Synge and its applications to topology and calculus of

variations in positively curved manifolds

S. WALTER W E I 533

On extending the Conley-Zehnder fixed point theorem to other manifolds

ALAN WEINSTEIN 541

Lp-energy

and blow-up for a semilinear heat equation

F R E D B. WEISSLER 545

A geometric theory of bifurcation

JAY H. WOLKOWISKY 553

Some problems on degenerate quasilinear parabolic equations

ZHUOQUN W U 565

Quasi-homogeneous microlocal analysis for nonlinear partial differential

equations

MASAO YAMAZAKI 573