In this paper, a p-Laplacian boundary-value problem with impulsive effects is considered. The existence of at least one non-trivial weak solution and at least three non-negative weak solutions via variational methods and critical point theory is obtained. Some recent results are extended and improved. Some examples are presented to demonstrate the application of our main results.
机构:
Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410075, Hunan, Peoples R ChinaCent S Univ, Sch Math Sci & Comp Technol, Changsha 410075, Hunan, Peoples R China
Bai, Liang
Dai, Binxiang
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Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410075, Hunan, Peoples R ChinaCent S Univ, Sch Math Sci & Comp Technol, Changsha 410075, Hunan, Peoples R China
机构:
Univ Mediterranea Reggio Calabria, Dept Law & Econ, I-89131 Reggio Di Calabria, ItalyUniv Mediterranea Reggio Calabria, Dept Law & Econ, I-89131 Reggio Di Calabria, Italy
Ferrara, Massimiliano
Heidarkhani, Shapour
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Razi Univ, Fac Sci, Dept Math, Kermanshah 67149, IranUniv Mediterranea Reggio Calabria, Dept Law & Econ, I-89131 Reggio Di Calabria, Italy
机构:
Qilu Normal Univ, Dept Math, Jinan 250013, Shandong, Peoples R China
Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R ChinaQilu Normal Univ, Dept Math, Jinan 250013, Shandong, Peoples R China
Zhang, Keyu
Xu, Jiafa
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Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R ChinaQilu Normal Univ, Dept Math, Jinan 250013, Shandong, Peoples R China
Xu, Jiafa
Dong, Wei
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Hebei Univ Engn, Dept Math, Handan 056038, Hebei, Peoples R ChinaQilu Normal Univ, Dept Math, Jinan 250013, Shandong, Peoples R China