Existence of solutions for nonlinear p-Laplacian difference equations
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$p$-Laplacian, difference equations, mountain-pass theoremAbstrakt
The aim of this paper is the study of existence of solutions for nonlinear $2n^{\mathrm{th}}$-order difference equations involving $p$-Laplacian. In the first part, the existence of a nontrivial homoclinic solution for a discrete $p$-Laplacian problem is proved. The proof is based on the mountain-pass theorem of Brezis and Nirenberg. Then, we study the existence of multiple solutions for a discrete $p$-Laplacian boundary value problem. In this case the proof is based on the three critical points theorem of Averna and Bonanno.Pobrania
Opublikowane
2017-07-07
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1.
SAAVEDRA, Lorena & TERSIAN, Stepan. Existence of solutions for nonlinear p-Laplacian difference equations. Topological Methods in Nonlinear Analysis [online]. 7 lipiec 2017, T. 50, nr 1, s. 151–167. [udostępniono 3.7.2024].
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