Infitely many solutions to the Dirichlet problem for quasilinear elliptic systems involving the p(x) and q(x)-Laplacian
<p>In this paper we consider the Dirichlet problem involving the p(x) and q(x) -Laplacian of the type<br />−∆p(x)u = f (u,v) in Ω<br />−∆q(x)v = g(u,v) in Ω<br />u = 0 on ∂Ω<br />v = 0 on ∂Ω</p><p>and, by applying a crit...
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| Format: | Article |
| Language: | English |
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Università degli Studi di Catania
2008-05-01
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| Series: | Le Matematiche |
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| Online Access: | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/57 |
| Summary: | <p>In this paper we consider the Dirichlet problem involving the p(x) and q(x) -Laplacian of the type<br />−∆p(x)u = f (u,v) in Ω<br />−∆q(x)v = g(u,v) in Ω<br />u = 0 on ∂Ω<br />v = 0 on ∂Ω</p><p>and, by applying a critical point variational principle obtained by Ricceri as a consequence of a more general variational principle, we prove the existence of infinitely many solutions.</p> |
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| ISSN: | 0373-3505 2037-5298 |