Published by Duke University Press since its inception in 1935, the Duke Mathematical Journal is one of the world's leading mathematical journals. Without specializing in a small number of subject areas, it emphasizes the most active and influential areas of current mathematics.

### Volume 48, Number 3

#### Publication Date: September 1981

Directional derivative of the increasing rearrangement mapping and application to a queer differential equation in plasma physics

J. Mossino and R. Temam; 475-495

On the existence of bounded positive solutions of semilinear elliptic equations in exterior domains

Yasuhiro Furusho and Yukio Ogura; 497-521

The classification of complete minimal surfaces in $\mathbf{R}^3$ with total curvature greater than $- 8 \pi$

William H. Meeks, III; 523-535

Existence of $L^2$-integrable holomorphic forms and lower estimates of $T_{V}^{1}$

Stephen S.-T. Yau; 537-547

The unitary dual of $\mathrm{Sp} (n,1), n \geq 2$

M. W. Baldoni Silva; 549-583

Closed geodesics and the fundamental group

W. Ballmann, G. Thorbergsson and W. Ziller; 585-588

Birational morphisms of smooth threefolds collapsing three surfaces to a point

Bruce Crauder; 589-632

Lower bound for the canonical height on elliptic curves

Joseph H. Silverman; 633-648

Unstable orbital integrals on $\mathrm{SL}(3)$

Robert E. Kottwitz; 649-664

CR extendability near a point where the first Leviform vanishes

Al Boggess; 665-684

On the solvability of Goursat problems and a function of number theory

Masafumi Yoshino; 685-696

Corrections to “The special values of the zeta functions associated with Hilbert modular forms,” Vol. 45 (1978), 637–679

Goro Shimura; 697