Existence of solutions to a discrete problems for fourth order nonlinear p-Laplacian via variational method
DOI:
https://doi.org/10.5269/bspm.63267Resumen
We consider the boundary value problem for a fourth order nonlinear p-Laplacian difference equation and to prove the existence of at least two nontrivial solutions. Our approach is mainly based on the variational method and critical point theory. One example is included to illustrate the result.
Referencias
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2. G. Bonanno, P. Candito, G. D’Agui, Variational methods on finite dimensional Banach spaces and discrete problems, Adv. Nonlinear Stud. 14, pp. 915-939, 2014.
3. G. Bonanno, P. Jebelean, C. Serban, Superlinear discrete problems, Appl. Mth. Letters, vol. 52, pp. 162-168, 2016.
4. S. N. Elaydi, An Introduction to Difference Equations, Springer, New York, NY, USA, 1996.
5. L. Jiang, Z. Zhou, Three solutions to Dirichlet boundary value problems for p-Laplacian difference equations, Adv. Difference Equ., pp. 1-10, 2008.
6. O. Kavian, Introduction a la theorie des points critiques, Springer-Verlag France, Paris, 1993.
7. W. G. Kelley and A. C. Peterson, Difference Equations: An Introduction with Applications, Academic Press, New York, NY, USA, 1991.
8. V. Lakshmikantham and D. Trigiante, Theory of Difference Equations: Numerical Methods and Applications, Academic Press, New York, NY, USA, 1988.
9. R. E. Mickens, Difference Equations: Theory and Application, Van Nostrand Reinhold, New York, NY, USA, 1990.
10. A. N. Sharkovsky, Yu. L. Maıstrenko, and E. Yu. Romanenko, Difference Equations and Their Applications, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1993.
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Publicado
2022-12-29
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Research Articles
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