Infinitely many solutions of a second-order $p$-Laplacian problem with impulsive condition
Applications of Mathematics, Tome 55 (2010) no. 5, pp. 405-418

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR Zbl
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
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

Cité par Sources :