Mossino, J.; Temam, R. Directional derivative of the increasing rearrangement mapping and application to a queer differential equation in plasma physics. (English) Zbl 0476.35031 Duke Math. J. 48, 475-495 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 8 ReviewsCited in 50 Documents MSC: 35J65 Nonlinear boundary value problems for linear elliptic equations 26A24 Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems 82D10 Statistical mechanics of plasmas 35J20 Variational methods for second-order elliptic equations Keywords:rearrangement mapping; Grad-Mercier problem; plasma physics; existence theorem; directional derivatives; mean value operators; Euler equation of a variational problem PDFBibTeX XMLCite \textit{J. Mossino} and \textit{R. Temam}, Duke Math. J. 48, 475--495 (1981; Zbl 0476.35031) Full Text: DOI