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Article

Wang, Libo ; Ge, Weigao ; Pei, Minghe
Infinitely many solutions of a second-order $p$-Laplacian problem with impulsive condition. (English). Applications of Mathematics, vol. 55 (2010), issue 5, pp. 405-418
MSC: 34A45, 34B18, 34B37, 47H15, 47J30, 58E05 | MR 2737720 | Zbl 1224.34091 | DOI: 10.1007/s10492-010-0015-7
Keywords:
critical point theory; lower and upper solutions; impulsive; $p$-Laplacian
Summary:
Using the critical point theory and the method of lower and upper solutions, we present a new approach to obtain the existence of solutions to a $p$-Laplacian impulsive problem. As applications, we get unbounded sequences of solutions and sequences of arbitrarily small positive solutions of the $p$-Laplacian impulsive problem.
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