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Eigenvalue Problems and Bifurcation of Nonhomogeneous Semilinear Elliptic Equations in Exterior Strip Domains
Boundary Value Problems volume 2007, Article number: 014731 (2006)
Abstract
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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Hsu, TS. Eigenvalue Problems and Bifurcation of Nonhomogeneous Semilinear Elliptic Equations in Exterior Strip Domains. Bound Value Probl 2007, 014731 (2006). https://doi.org/10.1155/2007/14731
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DOI: https://doi.org/10.1155/2007/14731