positive solutions for some nonlinear elliptic systems in exterior domains of โ2
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ID: 161935
2012
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Abstract
Using some potential theory tools and the Schauder fixed point theorem, we prove the existence of positive continuous solutions with a precise global behavior for the competitive semilinear elliptic system ฮ๐ข=๐(๐ฅ)๐ข๐ผ๐ฃ๐, ฮ๐ฃ=๐(๐ฅ)๐ข๐ ๐ฃ๐ฝ in an exterior domain ๐ท of โ2, subject to some Dirichlet conditions, where ๐ผโฅ1, ๐ฝโฅ1, ๐โฅ0, ๐ โฅ0 and the potentials ๐,๐ are nonnegative and satisfy some hypotheses related to the Kato class ๐พ(๐ท).
| Reference Key |
alsaedi2012abstractpositive
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|---|---|
| Authors | ;Ramzi Alsaedi |
| Journal | science and technology of advanced materials |
| Year | 2012 |
| DOI |
10.1155/2012/273017
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| URL | |
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