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Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics >
Rendiconti dell‘ Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.42 (2010) >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10077/3882
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| 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 |
| Citation: | 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. |
| URI: | http://hdl.handle.net/10077/3882 |
| ISSN: | 0049-4704 |
| MS Classification 2000: | 65L10
35J05 |
| Appears in Collections: | Rendiconti dell‘ Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.42 (2010)
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