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http://hdl.handle.net/10077/3882| Title: | Dirichlet Boundary Value Problems for Second Order $p$-Laplacian Difference Equations | Authors: | Shi, Haiping Liu, Zhongzhi Wang, Zhigang |
Keywords: | Discrete Dirichlet Boundary Value Problem; Mountain Pass Lemma; p-Laplacian; Critical Point Theory | Issue Date: | 2010 | Publisher: | EUT Edizioni Università di Trieste | Source: | Haiping Shi, Zhongzhi Liu, Zhigang Wang, "Dirichlet Boundary Value Problems for Second Order $p$-Laplacian Difference Equations", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 42 (2010), pp. 19-29. | Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics;42 (2010) | Abstract: | In this paper, the solutions to second order Dirichlet boundary value problems of $p$-Laplacian difference equations are investigated. By using critical point theory, existence and multiplicity results are obtained. The proof is based on the Mountain Pass Lemma in combination with variational techniques. |
Type: | Book Chapter | URI: | http://hdl.handle.net/10077/3882 | ISSN: | 0049-4704 |
| Appears in Collections: | Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.42 (2010) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Shi Liu Wang RendMat42.pdf | 233.99 kB | Adobe PDF |  View/Open |
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