Geodesic
A generalized periodic boundary value problem for the one-dimensional p-Laplacian
Annales Polonici Mathematici, Tome 65 (1996) no. 3, pp. 265-270

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

The generalized periodic boundary value problem -[g(u')]' = f(t,u,u'), a t b, with u(a) = ξu(b) + c and u'(b) = ηu'(a) is studied by using the generalized method of upper and lower solutions, where ξ,η ≥ 0, a, b, c are given real numbers, $g(s) = |s|^{p-2} s$, p > 1, and f is a Carathéodory function satisfying a Nagumo condition. The problem has a solution if and only if there exists a lower solution α and an upper solution β with α(t) ≤ β(t) for a ≤ t ≤ b.
DOI : 10.4064/ap-65-3-265-270
Keywords: generalized periodic boundary value problem, p-Laplacian, upper and lower solutions, Carathéodory function, Nagumo condition

Daqing Jiang 1 ; Junyu Wang 1

1 
@article{10_4064_ap_65_3_265_270,
     author = {Daqing Jiang and Junyu Wang},
     title = {A generalized periodic boundary value problem for the one-dimensional {p-Laplacian}},
     journal = {Annales Polonici Mathematici},
     pages = {265--270},
     publisher = {mathdoc},
     volume = {65},
     number = {3},
     year = {1996},
     doi = {10.4064/ap-65-3-265-270},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-65-3-265-270/}
}
TY  - JOUR
AU  - Daqing Jiang
AU  - Junyu Wang
TI  - A generalized periodic boundary value problem for the one-dimensional p-Laplacian
JO  - Annales Polonici Mathematici
PY  - 1996
SP  - 265
EP  - 270
VL  - 65
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap-65-3-265-270/
DO  - 10.4064/ap-65-3-265-270
LA  - en
ID  - 10_4064_ap_65_3_265_270
ER  - 
%0 Journal Article
%A Daqing Jiang
%A Junyu Wang
%T A generalized periodic boundary value problem for the one-dimensional p-Laplacian
%J Annales Polonici Mathematici
%D 1996
%P 265-270
%V 65
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap-65-3-265-270/
%R 10.4064/ap-65-3-265-270
%G en
%F 10_4064_ap_65_3_265_270
Daqing Jiang; Junyu Wang. A generalized periodic boundary value problem for the one-dimensional p-Laplacian. Annales Polonici Mathematici, Tome 65 (1996) no. 3, pp. 265-270. doi: 10.4064/ap-65-3-265-270

Cité par Sources :