Mossino, J. A priori estimates for a model of Grad-Mercier type in plasma confinement. (English) Zbl 0478.35018 Appl. Anal. 13, 185-207 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 8 Documents MSC: 35B45 A priori estimates in context of PDEs 35B50 Maximum principles in context of PDEs 35J65 Nonlinear boundary value problems for linear elliptic equations 76W05 Magnetohydrodynamics and electrohydrodynamics 82D10 Statistical mechanics of plasmas Keywords:a priori estimates; plasma confinement; rearrangement; symmetrization; isoperimetric inequalities; gradient estimate; maximum principle Citations:Zbl 0446.35021; Zbl 0405.35070; Zbl 0341.35031 PDF BibTeX XML Cite \textit{J. Mossino}, Appl. Anal. 13, 185--207 (1982; Zbl 0478.35018) Full Text: DOI OpenURL References: [1] Federer H., Geometric Measure Theory (1969) · Zbl 0176.00801 [2] Fleming W., Arch. Math. 11 pp 218– (1960) · Zbl 0094.26301 [3] Gallouet T., C.R.A.S. 286 pp 739– (1978) [4] Gilbarg D., Ann. Math. Pura Appl. 36 pp 191– (1954) · Zbl 0055.28504 [5] Gourgeon H., Thése de 3éme cycle, Université Paris 11 (1978) [6] Gourgeon H., Ann. de I’lnstitut Fourier 29 (4) (1979) [7] Grad H., Proc.Nat. Acad. Set, U.S.A. 72 (4) pp 3789– (1975) [8] Grad H., Proc. of Symposium in Applied Math. 21 (4) pp 3– (1977) [9] Guillemin V., Differential Topology (1977) [10] Lieb E. H., Studies in Appl. Math. 57 (4) pp 93– (1977) [11] Mossino J., J. of Diff. Equations 34 (1) (1979) · Zbl 0406.35027 [12] Mossino J., C.R.A.S. 288 (1) pp 263– (1979) [13] Mossino J., Duke Mathematical J. 48 (1) pp 475– (1981) · Zbl 0476.35031 [14] Payne L. E., Nonlinear Analysis, Theory, Methods and Appl 3 (2) (1979) [15] Payne L. E., Appl. Anal. 3 (2) pp 295– (1973) · Zbl 0323.35057 [16] Sperb R., Appl. Anal. 8 pp 301– (1979) · Zbl 0402.35034 [17] Stakgold I., Math. Meth. in the Appl. Sci. 2 pp 68– (1980) · Zbl 0431.35087 [18] Talenti G., Ann. della Scuola Norm. Sup. di Pisa 3 pp 697– (1976) [19] Temam R., Arch. Rat. Mech. Anal. 60 pp 51– (1975) · Zbl 0328.35069 [20] Temam, R. Proc. Int. Conf. [21] Vigfussion G., Bull. Am. Math. Soc. 85 pp 778– (1979) · Zbl 0411.76095 [22] Bandle C., Isoperimetric Inequalities and Applications (1980) · Zbl 0436.35063 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.