Boundary value problem for a class of the cooperative elliptic system involving critical Sobolev exponents
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초록
We get one result which shows the existence of at least one solution for a class of the cooperative elliptic system involving critical Sobolev exponents. We first show the uniqueness and the positivity of the solution for the linear system of the problem via the direct calculation. We next show the existence of the solution for the nonlinear problem by using the variational method and the critical point theory.
Abstract
We get one result which shows the existence of at least one solution for a class of the cooperative elliptic system involving critical Sobolev exponents. We first show the uniqueness and the positivity of the solution for the linear system of the problem via the direct calculation. We next show the existence of the solution for the nonlinear problem by using the variational method and the critical point theory.
참고문헌 (6)
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