Title

Existence and Nonexistence of Entire Positive Solutions of Semilinear Elliptic Systems

Authors

Xufeng Wang, Tulane University
Aihua W. Wood, Air Force Institute of TechnologyFollow

Document Type

Article

Publication Date

3-1-2002

Abstract

We show that entire positive solutions exist for the semilinear elliptic system Δu = p(x)v^α, Δv = q(x)u^β on R^N, N ≥ 3, for positive α and β, provided that the nonnegative functions p and q are continuous and satisfy appropriate decay conditions at infinity. We also show that entire solutions fail to exist if the functions p and q are of slow decay.
Abstract © Elsevier

Comments

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Reviewed at MR1886834

DOI

10.1006/jmaa.2001.7784

Source Publication

Journal of Mathematical Analysis and Applications

Recommended Citation

Wang, X., & Wood, A. W. (2002). Existence and Nonexistence of Entire Positive Solutions of Semilinear Elliptic Systems. Journal of Mathematical Analysis and Applications, 267(1), 361–368. https://doi.org/10.1006/jmaa.2001.7784