Abstract
We will show that under suitable conditions on and , there exists a positive number such that the nonhomogeneous elliptic equation in , , , has at least two positive solutions if , a unique positive solution if , and no positive solution if , where is the entire space or an exterior domain or an unbounded cylinder domain or the complement in a strip domain of a bounded domain. We also obtain some properties of the set of solutions.
Citation
Tsing-San Hsu. "Multiple Positive Solutions of Nonhomogeneous Elliptic Equations in Unbounded Domains." Abstr. Appl. Anal. 2007 1 - 19, 2007. https://doi.org/10.1155/2007/43018
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