Existence of positive solutions for some nonlinear elliptic problems in unbounded domains of ℝn
This paper deals with a class of nonlinear elliptic equations in an unbounded domain D of ℝn, n≥3, with a nonempty compact boundary, where the nonlinear term satisfies some appropriate conditions related to a certain Kato class K∞(D). Our purpose is to give some existence results and asymptotic beha...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/AAA/2006/24307 |
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| Summary: | This paper deals with a class of nonlinear elliptic equations in
an unbounded domain D of ℝn, n≥3, with a nonempty compact boundary, where the nonlinear term satisfies some
appropriate conditions related to a certain Kato class
K∞(D). Our purpose is to give some existence results and
asymptotic behaviour for positive solutions by using the Green
function approach and the Schauder fixed point theorem. |
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| ISSN: | 1085-3375 1687-0409 |