摘要
For the Schr?dinger system ■where k ≥ 2 and N = 2,3, we prove that for any λ_j> 0 and β_(jj)> 0 and any positive integers p_j, j = 1,2,···,k, there exists b > 0 such that if β_(ij)= β_(ji)≤ b for all i ≠ j then there exists a radial solution(u_1,u_2,···,u_k) with ujhaving exactly p_j-1 zeroes. Moreover,there exists a positive constant C_0 such that if β_(ij)= β_(ji)≤ b(i ≠ j) then any solution obtained satisfies ■Therefore, the solutions exhibit a trend of phase separations as β_(ij)→-∞ for i ≠ j.
For the Schr?dinger system ■where k ≥ 2 and N = 2,3, we prove that for any λ_j> 0 and β_(jj)> 0 and any positive integers p_j, j = 1,2,···,k, there exists b > 0 such that if β_(ij)= β_(ji)≤ b for all i ≠ j then there exists a radial solution(u_1,u_2,···,u_k) with ujhaving exactly p_j-1 zeroes. Moreover,there exists a positive constant C_0 such that if β_(ij)= β_(ji)≤ b(i ≠ j) then any solution obtained satisfies ■Therefore, the solutions exhibit a trend of phase separations as β_(ij)→-∞ for i ≠ j.
引文
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