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http://dx.doi.org/10.14403/jcms.2014.27.4.707

DIRICHLET BOUNDARY VALUE PROBLEM FOR A CLASS OF THE ELLIPTIC SYSTEM  

Jung, Tacksun (Department of Mathematics Kunsan National University)
Choi, Q-Heung (Department of Mathematics Education Inha University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.27, no.4, 2014 , pp. 707-720 More about this Journal
Abstract
We get a theorem which shows the existence of at least three solutions for some elliptic system with Dirichlet boundary condition. We obtain this result by using the finite dimensional reduction method which reduces the infinite dimensional problem to the finite dimensional one. We also use the critical point theory on the reduced finite dimensioal subspace.
Keywords
elliptic system; reduction method; (P.S.) condition; critical point theory; variational method;
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