ORIGINAL ARTICLE
Multi-bump solutions for the nonlinear magnetic Schrödinger equation with logarithmic nonlinearity
Jun Wang,
Zhaoyang Yin,
Corresponding Author
Jun Wang
Department of Mathematics, Sun Yat-sen University, Guangzhou, China
Correspondence
Jun Wang, Department of Mathematics, Sun Yat-sen University, Guangzhou 510275, China.
Email: [email protected]
Search for more papers by this authorZhaoyang Yin
Department of Mathematics, Sun Yat-sen University, Guangzhou, China
School of Science, Shenzhen Campus of Sun Yat-sen University, Shenzhen, China
Search for more papers by this authorJun Wang,
Zhaoyang Yin,
Corresponding Author
Jun Wang
Department of Mathematics, Sun Yat-sen University, Guangzhou, China
Correspondence
Jun Wang, Department of Mathematics, Sun Yat-sen University, Guangzhou 510275, China.
Email: [email protected]
Search for more papers by this authorZhaoyang Yin
Department of Mathematics, Sun Yat-sen University, Guangzhou, China
School of Science, Shenzhen Campus of Sun Yat-sen University, Shenzhen, China
Search for more papers by this authorAbstract
In this paper, we study the following nonlinear magnetic Schrödinger equation with logarithmic nonlinearity
where the magnetic potential , is a parameter and the nonnegative continuous function has the deepening potential well. Using the variational methods, we obtain that the equation has at least multi-bump solutions when is large enough.
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