학술저널
UNIQUENESS AND MULTIPLICITY OF SOLUTIONS FOR THE NONLINEAR ELLIPTIC SYSTEM
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 21, No. 1
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2008.03139 - 146 (8 pages)
- 0
We investigate the uniqueness and multiplicity of solutions for the nonlinear elliptic system with Dirichlet boundary condition −u + g1(u, v) = f1(x) in ,−v + g2(u, v) = f2(x) in ,where is a bounded set in Rn with smooth boundary @ . Hereg1, g2 are nonlinear functions of u, v and g1, g2 are nonlinear functions of u, v and f1, f2 are source terms.
1. Introduction
2. Uniqueness result for the elliptic system
3. Multiple solutions for the elliptic system
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