Geodesic
Positive solutions for one-dimensional singular $p$-Laplacian boundary value problems
Huijuan Song1 ; Jingxue Yin2 ; Rui Huang2
1 Department of Mathematics Jilin University Changchun 130012, China
2 School of Mathematical Sciences South China Normal University Guangzhou 510631, Guangdong, China
Annales Polonici Mathematici, Tome 105 (2012) no. 2, pp. 125-144.

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

We consider the existence of positive solutions of the equation $$ {1\over \lambda (t)}(\lambda (t)\varphi _p(x'(t)))'+ \mu f(t,x(t),x'(t))=0, $$ where $\varphi _p(s)=|s|^{p-2}s, p>1$, subject to some singular Sturm–Liouville boundary conditions. Using the Krasnosel'skiĭ fixed point theorem for operators on cones, we prove the existence of positive solutions under some structure conditions.
DOI : 10.4064/ap105-2-2
Keywords: consider existence positive solutions equation lambda lambda varphi t where varphi p subject singular sturm liouville boundary conditions using krasnoselski fixed point theorem operators cones prove existence positive solutions under structure conditions

Huijuan Song 1 ; Jingxue Yin 2 ; Rui Huang 2

1 Department of Mathematics Jilin University Changchun 130012, China
2 School of Mathematical Sciences South China Normal University Guangzhou 510631, Guangdong, China 
@article{10_4064_ap105_2_2,
     author = {Huijuan Song and Jingxue Yin and Rui Huang},
     title = {Positive solutions for one-dimensional singular $p${-Laplacian} boundary value problems},
     journal = {Annales Polonici Mathematici},
     pages = {125--144},
     publisher = {mathdoc},
     volume = {105},
     number = {2},
     year = {2012},
     doi = {10.4064/ap105-2-2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap105-2-2/}
}
TY  - JOUR
AU  - Huijuan Song
AU  - Jingxue Yin
AU  - Rui Huang
TI  - Positive solutions for one-dimensional singular $p$-Laplacian boundary value problems
JO  - Annales Polonici Mathematici
PY  - 2012
SP  - 125
EP  - 144
VL  - 105
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap105-2-2/
DO  - 10.4064/ap105-2-2
LA  - en
ID  - 10_4064_ap105_2_2
ER  - 
%0 Journal Article
%A Huijuan Song
%A Jingxue Yin
%A Rui Huang
%T Positive solutions for one-dimensional singular $p$-Laplacian boundary value problems
%J Annales Polonici Mathematici
%D 2012
%P 125-144
%V 105
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap105-2-2/
%R 10.4064/ap105-2-2
%G en
%F 10_4064_ap105_2_2
Huijuan Song; Jingxue Yin; Rui Huang. Positive solutions for one-dimensional singular $p$-Laplacian boundary value problems. Annales Polonici Mathematici, Tome 105 (2012) no. 2, pp. 125-144. doi : 10.4064/ap105-2-2. http://geodesic.mathdoc.fr/articles/10.4064/ap105-2-2/

Cité par Sources :