Multi-bump solutions for a class of quasilinear problems involving variable exponents
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- 作者：Claudianor O. Alves ; Marcelo C. Ferreira
- 关键词：Variational Methods ; Positive solutions ; Asymptotic behavior of solutions ; $$p(x)$$ p ( x ) ; Laplacian ; 35A15 ; 35B09 ; 35B40 ; 35H30
- 刊名：Annali di Matematica Pura ed Applicata
- 出版年：2015
- 出版时间：December 2015
- 年：2015
- 卷：194
- 期：6
- 页码：1563-1593
- 全文大小：590 KB
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Marcelo C. Ferreira (1)
1. Universidade Federal de Campina Grande, Unidade Acad锚mica de Matem谩tica, Campina Grande, PB聽, CEP: 58429-900, Brazil - 刊物类别：Mathematics and Statistics
- 刊物主题：Mathematics
Mathematics - 出版者：Springer Berlin / Heidelberg
- ISSN：1618-1891
文摘
We establish the existence of multi-bump solutions for the following class of quasilinear problems $$\begin{aligned} - \Delta _{ p(x) } u + \big ( \lambda V(x) + Z(x) \big ) u ^{ p(x)-1 } = f(x,u) \text { in } \mathbb R^N, \, u \ge 0 \text { in } \mathbb R^N, \end{aligned}$$