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Existence of nontrivial solution for Schrdinger equations with Hatree and Logarithmic nonlinearities
oleh: Jianwei HAO, Yongyan HUANG
Format: | Article |
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Diterbitkan: | Hebei University of Science and Technology 2019-12-01 |
Deskripsi
In order to expound the influence of sign-changing potential on logarithmic nonlinearity and Hatree nonlinearity. By the variational method, a weak solution to the problem is a critical point of the energy functional. Then, by the logarithmic inequality, the energy functional of Schrdinger problem satisfies the mountain geometry and (PS) condition. The existence of nontrivial solutions is obtained by mountain pass theorem. The research method has good expected results in theoretical proof and laid a good foundation for the study of Schrdinger problem with logarithmic nonlinearity with double sign-changing potential.