Abstract | ||
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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 |
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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 Bisci | 1 | 15 | 3.95 |
Dusan Repovš | 2 | 21 | 11.09 |