Infinitely many solutions of a second-order -Laplacian problem with impulsive condition
Libo Wang; Weigao Ge; Minghe Pei
Applications of Mathematics (2010)
- Volume: 55, Issue: 5, page 405-418
- ISSN: 0862-7940
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topWang, Libo, Ge, Weigao, and Pei, Minghe. "Infinitely many solutions of a second-order $p$-Laplacian problem with impulsive condition." Applications of Mathematics 55.5 (2010): 405-418. <http://eudml.org/doc/116468>.
@article{Wang2010,
abstract = {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.},
author = {Wang, Libo, Ge, Weigao, Pei, Minghe},
journal = {Applications of Mathematics},
keywords = {critical point theory; lower and upper solutions; impulsive; $p$-Laplacian; critical point theory; lower solution; upper solution; impulsive; -Laplacian},
language = {eng},
number = {5},
pages = {405-418},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Infinitely many solutions of a second-order $p$-Laplacian problem with impulsive condition},
url = {http://eudml.org/doc/116468},
volume = {55},
year = {2010},
}
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
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 55
IS - 5
SP - 405
EP - 418
AB - 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.
LA - eng
KW - critical point theory; lower and upper solutions; impulsive; $p$-Laplacian; critical point theory; lower solution; upper solution; impulsive; -Laplacian
UR - http://eudml.org/doc/116468
ER -
References
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