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http://dx.doi.org/10.7858/eamj.2015.053

FUNDAMENTAL THEOREM OF UPPER AND LOWER SOLUTIONS FOR A CLASS OF SINGULAR (p1, p2)-LAPLACIAN SYSTEMS  

XU, XIANGHUI (DEPARTMENT OF MATHEMATICS, PUSAN NATIONAL UNIVERSITY)
LEE, YONG-HOON (DEPARTMENT OF MATHEMATICS, PUSAN NATIONAL UNIVERSITY)
Publication Information
East Asian mathematical journal / v.31, no.5, 2015 , pp. 727-735 More about this Journal
Abstract
We introduce the fundamental theorem of upper and lower solutions for a class of singular ($p_1,\;p_2$)-Laplacian systems and give the proof by using the Schauder fixed point theorem. It will play an important role to study the existence of solutions.
Keywords
($p_1,\p_2$)-Laplacian system; Upper solution; Lower solution; Singular weight; Existence;
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