Borsuk, Michail; Portnyagin, Dmitriy

Barriers on cones for degenerate quasilinear elliptic operators

Electron. J. Differ. Equ. 1998, Paper No. 11, 8 p. (1998)

Summary

Summary: Barrier functions $$ {d\over dx_i}(|x|^\tau|u|^q|\nabla u|^{m-2}u_{x_i})= \mu |x|^\tau{|u|}^{q-1}\,{\rm sgn\,}u|\nabla u|^m\,,$ -1 less than \mu \leq 0\,,\quad q\geq 0\,,\quad m greater than 1 \,,\quad\tau greater than m-n$.$$

Mathematics Subject Classification

35J65, 35J70, 35B05, 35B45, 35B65

Keywords/Phrases

quasilinear elliptic equations, barrier functions, conical points

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