Existence of Solutions for a Sublinear System of Elliptic Equations

Date

2000-05-09

Authors

Cid, Carlos
Yarur, Cecilia S.

Journal Title

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Volume Title

Publisher

Southwest Texas State University, Department of Mathematics

Abstract

We study the existence of non-trivial non-negative solutions for the system -Δu = |x|α vp Δv = |x|b uq, where p and q are positive constants with pq < 1, and the domain is the unit ball of ℝN (N > 2) except for the center zero. We look for pairs of functions that satisfy the above system and Dirichlet boundary conditions set to zero. Our results also apply to some super-linear systems.

Description

Keywords

Semilinear elliptic systems, Sub-harmonic functions, Super-harmonic functions

Citation

Cid, C., & Yarur, C. (2000). Existence of solutions for a sublinear system of elliptic equations. <i>Electronic Journal of Differential Equations, 2000</i>(33), pp. 1-11.

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Attribution 4.0 International

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