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• W2020859385 abstract "Communications on Pure and Applied MathematicsVolume 43, Issue 4 p. 547-573 Article Convergence of a sequence of free boundary problems associated with the grad variational problem in plasma physics† P. Laurence, P. Laurence Università degli Studi di MilanoSearch for more papers by this authorE. Stredulinsky, E. Stredulinsky Lawrence UniversitySearch for more papers by this author P. Laurence, P. Laurence Università degli Studi di MilanoSearch for more papers by this authorE. Stredulinsky, E. Stredulinsky Lawrence UniversitySearch for more papers by this author First published: June 1990 https://doi.org/10.1002/cpa.3160430406Citations: 1 † This paper is dedicated to the memory of Harold Grad; the scientist, whose far-reaching vision identified deep and beautiful mathematical structures in plasma physics and brought to light their fundamental properties; the man, whose kindness, generosity, and delightful sense of humor enriched all those around him. AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Bibliography 1 Acker, Andrew, On the convexity of equilibrium plasma configuration, Math. Meth. Appl. Sci. 3, 1981, pp. 435– 443. 2 Caffarelli, L., and Spruck, J., Convexity properties of solutions to some classical variational problems, Comm. Part. Diff. Eq. 7, 1982, pp. 1337– 1379. 3 Federer, F., Geometric Measure Theory, Springer-Verlag, New York, 1969. 4 Grad, H., Magnetic confinement fusion energy research, Proc. Symp. Appl. Math. 21, 1979, pp. 3– 40. 5 Laurence, P., and Stredulinsky, E., A new approach to queer differential equations, Comm. Pure Appl. Math. 38, 1985, pp. 333– 355. 6 Laurence, P., and Stredulinsky, E., A survey of regularity results for queer differential equations of second order, Proc. Conf. in Honor of Hans Lewy, Springer Lecture Notes 3460, 1986. 7 Laurence, P., and Stredulinsky, E., On the Lipschitz bound and superharmonicity of minimizers of the Grad variational problem, in preparation. 8 Laurence, P., and Stredulinsky, E., Existence of regular solutions with convex level sets for semilinear elliptic equations with nonmonotone L1 nonlinearities Part I: An approximating free boundary problem, preprint. 9 Laurence, P., and Stredulinsky, E., Existence of regular solutions with convex level sets for semilinear elliptic equations with nonmonotone L1 nonlinearities Part II: Passage to the limit, to appear in Indiana Univ. Math. J. 10 Laurence, P., and Stredulinsky, E., An estimate of the size of the r-inaccessible subset of a convex set, in preparation. 11 Laurence, P., and Stredulinsky, E., A bootstrap argument for Grad generalized differential equations, Indiana Univ. Math. J. 38, 1989, pp. 377– 415. Citing Literature Volume43, Issue4June 1990Pages 547-573 ReferencesRelatedInformation" @default.
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