Nonexistence of Positive Singular Solutions for a Class of Semilinear Elliptic Systems

Date

1996-09-06

Authors

Yarur, Cecilia S.

Journal Title

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Volume Title

Publisher

Southwest Texas State University, Department of Mathematics

Abstract

We study nonexistence and removability results for nonnegative sub-solutions to ∆u = a(x)vp ∆v = b(x)uq } in Ω ⊂ ℝN, N ≥ 3, where p ≥ 1, q ≥ 1, pq > 1, and a and b are nonnegative functions. As a consequence of this work, we obtain new results for biharmonic equations.

Description

Keywords

Elliptic systems, Removable singularity, Biharmonic equation

Citation

Yarur, C. S. (1996). Nonexistence of positive singular solutions for a class of semilinear elliptic systems. <i>Electronic Journal of Differential Equations, 1996</i>(08), pp. 1-22.

Rights

Attribution 4.0 International

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