Abstract and Applied Analysis

Global Bifurcation of Positive Solutions of Asymptotically Linear Elliptic Problems

Ruyun Ma, Yanqiong Lu, and Ruipeng Chen

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Abstract

We are concerned with determining values of λ , for which there exist positive solutions of the nonlinear elliptic problem - Δ u = λ a ( x ) f ( u ) in Ω , u / n + b ( x ) g ( u ) = 0 on Ω . The proof of our main results is based upon unilateral global bifurcation theorem of López-Gómez.

Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 749368, 7 pages.

Dates
First available in Project Euclid: 2 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412277015

Digital Object Identifier
doi:10.1155/2014/749368

Mathematical Reviews number (MathSciNet)
MR3216072

Zentralblatt MATH identifier
07023014

Citation

Ma, Ruyun; Lu, Yanqiong; Chen, Ruipeng. Global Bifurcation of Positive Solutions of Asymptotically Linear Elliptic Problems. Abstr. Appl. Anal. 2014 (2014), Article ID 749368, 7 pages. doi:10.1155/2014/749368. https://projecteuclid.org/euclid.aaa/1412277015


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