Opuscula Math. 34, no. 4 (2014), 851-870
http://dx.doi.org/10.7494/OpMath.2014.34.4.851

 
Opuscula Mathematica

On the dependence on parameters for second order discrete boundary value problems with the p(k)-Laplacian

Joanna Smejda
Renata Wieteska

Abstract. In this paper we study the existence and the nonexistence of solutions for the boundary value problems of a class of nonlinear second-order discrete equations depending on a parameter. Variational (the mountain pass technique) and non-variational methods are applied.

Keywords: discrete boundary value problems, variational methods, mountain pass theorem.

Mathematics Subject Classification: 39A10, 39A12, 34B15.

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Cite this article as:
Joanna Smejda, Renata Wieteska, On the dependence on parameters for second order discrete boundary value problems with the p(k)-Laplacian, Opuscula Math. 34, no. 4 (2014), 851-870, http://dx.doi.org/10.7494/OpMath.2014.34.4.851

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