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Classification of Solutions to a Critically Nonlinear System of Elliptic Equations on Euclidean Half-Space

Classification of Solutions to a Critically Nonlinear System of Elliptic Equations on Euclidean Half-Space

Year:    2015

Author:    Mathew R. Gluck, Lei Zhang

Journal of Partial Differential Equations, Vol. 28 (2015), Iss. 1 : pp. 74–94

Abstract

For N3 and non-negative real numbers aij and bij (i,j=1,,m), the semi-linear elliptic system{Δui+mj=1uaijj=0,inRN+,uiyN=cimj=1ubijj,onRN+,i=1,,m, % is considered, where RN+ is the upper half of N-dimensional Euclidean space. Under suitable assumptions on the exponents aij and bij, a classification theorem for the positive C2(RN+)C1(¯RN+)-solutions of this system is proven.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jpde.v28.n1.7

Journal of Partial Differential Equations, Vol. 28 (2015), Iss. 1 : pp. 74–94

Published online:    2015-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    21

Keywords:    Nonlinear elliptic systems

Author Details

Mathew R. Gluck Email

Lei Zhang Email