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http://dx.doi.org/10.4134/BKMS.2012.49.1.001

SOLVABILITY FOR A CLASS OF THE SYSTEMS OF THE NONLINEAR ELLIPTIC EQUATIONS  

Jung, Tack-Sun (Department of Mathematics Kunsan National University)
Choi, Q-Heung (Department of Mathematics Education Inha University)
Publication Information
Bulletin of the Korean Mathematical Society / v.49, no.1, 2012 , pp. 1-10 More about this Journal
Abstract
Let ${\Omega}$ be a bounded subset of $\mathbb{R}^n$ with smooth boundary. We investigate the solvability for a class of the system of the nonlinear elliptic equations with Dirichlet boundary condition. Using the mountain pass theorem we prove that the system has at least one nontrivial solution.
Keywords
system of nonlinear elliptic equations; mountain pass theorem; (P.S.) condition; critical point theory;
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