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  4. Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics
  5. Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.42 (2010)
  6. Dirichlet Boundary Value Problems for Second Order $p$-Laplacian Difference Equations
 
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Dirichlet Boundary Value Problems for Second Order $p$-Laplacian Difference Equations

Shi, Haiping
•
Liu, Zhongzhi
•
Wang, Zhigang
2010
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ISSN
0049-4704
http://hdl.handle.net/10077/3882
  • Book Chapter

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.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics;42 (2010)
Subjects
  • Discrete Dirichlet Bo...

  • Mountain Pass Lemma

  • p-Laplacian

  • Critical Point Theory...

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.
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