论文信息 - Multiple solutions for the semilinear elliptic equations with the sign-changing logarithmic nonlinearity

Multiple solutions for the semilinear elliptic equations with the sign-changing logarithmic nonlinearity

Abstract In this paper, we study the semilinear elliptic equations with the sign-changing logarithmic nonlinearity. Under some conditions we obtain at least two nontrivial solutions by Nehari manifold and logarithmic Sobolev inequality. Here the results are quite different from these in the polynomial case.

Shuying Tian | Shuying Tian

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