A Generalization of Mahadevan's Version of the Krein-Rutman Theorem and Applications to p-Laplacian Boundary Value Problems

المؤلفون المشاركون

Sun, Jingxian
Cui, Yujun

المصدر

Abstract and Applied Analysis

العدد

المجلد 2012، العدد 2012 (31 ديسمبر/كانون الأول 2012)، ص ص. 1-14، 14ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2012-08-28

دولة النشر

مصر

عدد الصفحات

14

التخصصات الرئيسية

الرياضيات

الملخص EN

We will present a generalization of Mahadevan’s version of the Krein-Rutman theorem for a compact, positively 1-homogeneous operator on a Banach space having the properties of being increasing with respect to a cone P and such that there is a nonzero u∈P∖{θ}−P for which MTpu≥u for some positive constant M and some positive integer p.

Moreover, we give some new results on the uniqueness of positive eigenvalue with positive eigenfunction and computation of the fixed point index.

As applications, the existence of positive solutions for p-Laplacian boundary-value problems is considered under some conditions concerning the positive eigenvalues corresponding to the relevant positively 1-homogeneous operators.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Cui, Yujun& Sun, Jingxian. 2012. A Generalization of Mahadevan's Version of the Krein-Rutman Theorem and Applications to p-Laplacian Boundary Value Problems. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-461938

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Cui, Yujun& Sun, Jingxian. A Generalization of Mahadevan's Version of the Krein-Rutman Theorem and Applications to p-Laplacian Boundary Value Problems. Abstract and Applied Analysis No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-461938

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Cui, Yujun& Sun, Jingxian. A Generalization of Mahadevan's Version of the Krein-Rutman Theorem and Applications to p-Laplacian Boundary Value Problems. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-461938

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-461938