Infinitely many solutions of a second-order $p$-Laplacian problem with impulsive condition
Applications of Mathematics, Tome 55 (2010) no. 5, pp. 405-418
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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.
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.
DOI :
10.1007/s10492-010-0015-7
Classification :
34A45, 34B18, 34B37, 47H15, 47J30, 58E05
Keywords: critical point theory; lower and upper solutions; impulsive; $p$-Laplacian
Keywords: critical point theory; lower and upper solutions; impulsive; $p$-Laplacian
Wang, Libo; Ge, Weigao; Pei, Minghe. Infinitely many solutions of a second-order $p$-Laplacian problem with impulsive condition. Applications of Mathematics, Tome 55 (2010) no. 5, pp. 405-418. doi: 10.1007/s10492-010-0015-7
@article{10_1007_s10492_010_0015_7,
author = {Wang, Libo and Ge, Weigao and Pei, Minghe},
title = {Infinitely many solutions of a second-order $p${-Laplacian} problem with impulsive condition},
journal = {Applications of Mathematics},
pages = {405--418},
year = {2010},
volume = {55},
number = {5},
doi = {10.1007/s10492-010-0015-7},
mrnumber = {2737720},
zbl = {1224.34091},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1007/s10492-010-0015-7/}
}
TY - JOUR AU - Wang, Libo AU - Ge, Weigao AU - Pei, Minghe TI - Infinitely many solutions of a second-order $p$-Laplacian problem with impulsive condition JO - Applications of Mathematics PY - 2010 SP - 405 EP - 418 VL - 55 IS - 5 UR - http://geodesic.mathdoc.fr/articles/10.1007/s10492-010-0015-7/ DO - 10.1007/s10492-010-0015-7 LA - en ID - 10_1007_s10492_010_0015_7 ER -
%0 Journal Article %A Wang, Libo %A Ge, Weigao %A Pei, Minghe %T Infinitely many solutions of a second-order $p$-Laplacian problem with impulsive condition %J Applications of Mathematics %D 2010 %P 405-418 %V 55 %N 5 %U http://geodesic.mathdoc.fr/articles/10.1007/s10492-010-0015-7/ %R 10.1007/s10492-010-0015-7 %G en %F 10_1007_s10492_010_0015_7
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