Convexity of solutions of semilinear elliptic equations
Convexity of solutions of semilinear elliptic equations - Caffarelli - Cited by 243
… of positive solutions of semilinear elliptic equations - Lions - Cited by 774
… solutions of semilinear elliptic equations with convex … - Pacella - Cited by 69
June 1985 Convexity of solutions of semilinear elliptic equations. Luis A. Caffarelli, Avner Friedman · DOWNLOAD PAPER + SAVE TO MY LIBRARY. Duke Math.
by D Finn2008Cited by 16 — Finn, D. (2008). Convexity of level curves for solutions to semilinear elliptic equations. In Communications on Pure and Applied Analysis, 7(6), 1335-1343.
by F HamelCited by 22 — Abstract. This paper deals with some geometrical properties of solutions of some semilinear elliptic equations in bounded convex domains or convex rings.
by X CabréCited by 53 — Abstract. In this note we consider semilinear equations −∆u = f(u), with zero Dirichlet bound- ary condition, for smooth and nonnegative f, in smooth, ...
by P GuanCited by 12 — Introduction. The convexity is an issue of interest for a long time in PDE, it is intimately related to the study of geometric properties of solutions of ...
14 pages·186 KB
by A Greco1993Cited by 18 — 2020. Geometric properties of superlevel sets of semilinear elliptic equations in convex domains. 2018 MATRIX Annals, 249-263.
by S Nordmann2018Cited by 1 — ... solutions of semilinear elliptic equations in unbounded domains ... that all stable solutions are constant in convex bounded domains.
by P Laurence1990Cited by 24 — by the gradient of a harmonic function with convex level sets. On the other hand, our proof of the free boundary ... Semilinear Elliptic Equations 1083.
PDF | In this note, we consider semilinear equations -Du = f(u) -\Delta u = f(u) , with zero Dirichlet boundary condition, for smooth and nonnegative f,.
by DL Finn2008Cited by 16 — Keywords: Semilinear elliptic equation, convexity., maximum principle, level curves. Mathematics Subject Classification: Primary: 35B05; Secondary: 35J60, 35J6 ...