文章基本信息

标题：Multiple homoclinic solutions for p -Laplacian Hamiltonian systems with concave–convex nonlinearities
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作者：Lili Wan
期刊名称：Boundary Value Problems
印刷版ISSN：1687-2762
电子版ISSN：1687-2770
出版年度：2020
卷号：2020
期号：1
页码：1-15
DOI：10.1186/s13661-019-01317-z
出版社：Hindawi Publishing Corporation
摘要：The multiplicity of homoclinic solutions is obtained for a class of the p-Laplacian Hamiltonian systems $\frac{d}{dt}( \dot{u}(t) ^{p-2}\dot{u}(t))-a(t) u(t) ^{p-2}u(t)+ \nabla W(t,u(t))=0$ via variational methods, where $a(t)$ is neither coercive nor bounded necessarily and $W(t,u)$ is under new concave–convex conditions. Recent results in the literature are generalized even for $p=2$..
关键词：Homoclinic solutions ; p -Laplacian operator ; Variational methods ;