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

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