On the convexity of level lines of the fundamental mode in the clamped membrane problem, and the existence of convex solutions in a related free boundary problem-Reference-Cited by-同舟云学术

On the convexity of level lines of the fundamental mode in the clamped membrane problem, and the existence of convex solutions in a related free boundary problem

Published:1981 Issue:6 Volume:32 Page:683-694
ISSN:0044-2275
Container-title:ZAMP Zeitschrift f�r angewandte Mathematik und Physik
language:en
Short-container-title:Z. angew. Math. Phys.

Author:

Acker A.,Payne L. E.,Philippin G.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Physics and Astronomy,General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/BF00946979.pdf

Reference13 articles.

1. A. Acker,Free boundary optimization ? a constructive iterative method. Z. angew. Math. Phys.30, 855?900 (1979).

2. A. Acker,Interior free boundary problems for the Laplace equation, Arch. Rat'l. Mech. Anal.75, 157?168 (1981).

3. A. Acker,Area-preserving domain perturbation operators which increase torsional rigidity or decrease capacity, with applications to free boundary problems, Z. angew. Math. Phys.32, 22?33 (1981).

4. A. Acker,On the convexity of equilibrium plasma configurations, Math. Methods in the Applied Sciences (to appear).

5. R. Courant and D. Hilbert,Methods of mathematical physics, Vol. I, Interscience Publishers, New York 1953.

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