Positive solutions for one-dimensional singular p-Laplacian boundary value problems

• Autorzy: Huijuan Song , Jingxue Yin , Rui Huang
• Języki publikacji: EN

Abstrakty

EN

We consider the existence of positive solutions of the equation
$1/λ(t) (λ(t)φ_p(x'(t)))' + μf(t,x(t),x'(t)) =0$,
where $φ_p(s) = |s|^{p-2}s$, 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.

Kategorie tematyczne

• 35J70: Degenerate elliptic equations
• 35J25: Boundary value problems for second-order elliptic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2012
• Tom: 105
• Numer: 2
• Strony: 125-144

Daty

wydano

2012

Twórcy

autor

Huijuan Song

• Department of Mathematics, Jilin University, Changchun 130012, China

autor

Jingxue Yin

• School of Mathematical Sciences, South China Normal University, Guangzhou 510631, Guangdong, China

autor

Rui Huang

• School of Mathematical Sciences, South China Normal University, Guangzhou 510631, Guangdong, China

Identyfikatory

DOI

10.4064/ap105-2-2