Bound and Ground States for a Concave–Convex Generalized Choquard Equation

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• 作者：Hui Zhang ; Junxiang Xu ; Fubao Zhang
• 关键词：Generalized Choquard equation ; Nolocal nonlinearity ; Nehari manifold ; Concave–convex ; Ground state
• 刊名：Acta Applicandae Mathematicae
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：147
• 期：1
• 页码：81-93
• 全文大小：
• 刊物主题：Mathematics, general; Computer Science, general; Theoretical, Mathematical and Computational Physics; Complex Systems; Classical Mechanics;
• 出版者：Springer Netherlands
• ISSN：1572-9036
• 卷排序：147

文摘

For a class of generalized Choquard equations with perturbation terms, we establish the existence of bound and ground states by virtue of the method of Nehari manifold.