SolutionsofaClassofDiscrete FourthOrderBoundaryValueProblems
Minimax theory and its applications, Tome 3 (2018) no. 1
Westudythediscretefourthorderboundaryvalueproblem {∆4ut α∆2ut βut f t,ut , t ,NZ, u ∆u , uN ∆2uN , whereN isan integer, α,β , andf ,NZ R Ris continuous inthe second argument. Weobtainseveral criteria for theexistenceof oneandmultiple solutionsof the problem. Ouranalysis ismainlybasedonthevariationalmethodandcritical point theory. Examplesarepresentedtoillustrateourresults.
Mots-clés :
Discreteboundaryvalueproblem,fourthorder,solutions,variationalmethods, local linking,criticalpoints
@article{MTA_2018_3_1_a7,
author = {LingjuKong},
title = {SolutionsofaClassofDiscrete {FourthOrderBoundaryValueProblems}},
journal = {Minimax theory and its applications},
year = {2018},
volume = {3},
number = {1},
url = {http://geodesic.mathdoc.fr/item/MTA_2018_3_1_a7/}
}
LingjuKong. SolutionsofaClassofDiscrete FourthOrderBoundaryValueProblems. Minimax theory and its applications, Tome 3 (2018) no. 1. http://geodesic.mathdoc.fr/item/MTA_2018_3_1_a7/