Barriers on Cones for Degenerate Quasilinear Elliptic Operators
Date
1998-04-17
Authors
Borsuk, Michail
Portnyagin, Dmitriy
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
Barrier functions w = |x|λ Φ (ω) are constructed for the first boundary value problem as well as for the mixed boundary value problem for quasilinear elliptic second order equation of divergent form with triple degeneracy on the n-dimensional convex circular cone:
d/dxi (|x|τ |u|q |∇u|m-2 uxi = µ|x|τ|u|q-1 sgn u|∇u|m,
where -1 < µ ≤ 0, q ≥ 0, m > 1, τ > m - n.
Description
Keywords
Quasilinear elliptic equations, Barrier functions, Conical points
Citation
Borsuk, M. & Portnyagin, D. (1998). Barriers on cones for degenerate quasilinear elliptic operators. <i>Electronic Journal of Differential Equations, 1998</i>(11), pp. 1-8.
Rights
Attribution 4.0 International