| Autor: |
Shuai Yao, Juntao Sun, Tsung-Fang Wu |
| Jazyk: |
angličtina |
| Rok vydání: |
2020 |
| Předmět: |
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| Zdroj: |
Electronic Journal of Differential Equations, Vol 2020, Iss 06,, Pp 1-18 (2020) |
| Druh dokumentu: |
article |
| ISSN: |
1072-6691 |
| Popis: |
We consider the stationary quantum Zakharov system with a higher competing perturbation $$\displaylines{ \Delta ^2u-\Delta u+\lambda V(x)u=K(x)u\phi -\mu | u|^{p-2}u \quad \text{in }\mathbb{R}^3, \cr -\Delta \phi +\phi =K(x)u^2 \quad \text{in }\mathbb{R}^3, }$$ where $\lambda >0$, $\mu>0$, $p>4$ and functions $V$ and $K$ are both nonnegative. Such problem can not be studied via the common arguments in variational methods, since Palais-Smale sequences may not be bounded. Using a constraint approach proposed by us recently, we prove the existence, multiplicity and concentration of nontrivial solutions for the above problem. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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