Open Access Research Article

Eigenvalue Problems and Bifurcation of Nonhomogeneous Semilinear Elliptic Equations in Exterior Strip Domains

Tsing-San Hsu

Author Affiliations

Center of General Education, Chang Gung University, Kwei-San, Tao-Yuan 333, Taiwan

Boundary Value Problems 2007, 2007:014731 doi:10.1155/2007/14731


The electronic version of this article is the complete one and can be found online at: http://www.boundaryvalueproblems.com/content/2007/1/014731


Received:19 July 2006
Revisions received:10 October 2006
Accepted:20 October 2006
Published:27 December 2006

© 2007 Hsu

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

We consider the following eigenvalue problems: in in where , , is a smooth bounded domain, , is a smooth bounded domain in such that . Under some suitable conditions on and , we show that there exists a positive constant such that the above-mentioned problems have at least two solutions if , a unique positive solution if , and no solution if . We also obtain some bifurcation results of the solutions at .

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