On Positive Solutions of Semilinear Elliptic Equations in Unbounded Domains

P L Lions

doi:10.1007/978-1-4613-9608-6_6

On Positive Solutions of Semilinear Elliptic Equations in Unbounded Domains

P L Lions

https://doi.org/10.1007/978-1-4613-9608-6_6

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Publication Date: Jan 1, 1988

Citations: 30

#Elliptic Equations In Unbounded Domains #Solutions Of Semilinear Elliptic Equations + Show 8 more

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Abstract

We give a short survey of some existence results concerning positive solutions of semilinear elliptic equations in unbounded domains. We consider only solutions which vanish at infinity. We also investigate the existence of “minimum-type” solutions as well as solutions given by “higher” critical points.

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