Title
Existence of solutions for p-Laplacian discrete equations.
Abstract
This work is devoted to the study of the existence of at least one (non-zero) solution to a problem involving the discrete p-Laplacian. As a special case, we derive an existence theorem for a second-order discrete problem, depending on a positive real parameter α, whose prototype is given by-Δ2u(k-1)=αf(k,u(k)),∀k∈Z[1,T],u(0)=u(T+1)=0.Our approach is based on variational methods in finite-dimensional setting.
Year
DOI
Venue
2014
10.1016/j.amc.2014.05.118
Applied Mathematics and Computation
Keywords
Field
DocType
Discrete boundary value problem,Existence result,Discrete p-Laplacian,Critical point theory
Existence theorem,Discrete mathematics,Mathematical optimization,Mathematical analysis,Mathematics,p-Laplacian,Special case
Journal
Volume
ISSN
Citations 
242
0096-3003
0
PageRank 
References 
Authors
0.34
3
2
Name
Order
Citations
PageRank
Giovanni Molica Bisci1153.95
Dusan Repovš22111.09