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 
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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

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