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Dumitru Motreanu
Professor
Univrsity of Perpignan
Public Documents
1
On variational approach to fourth order problems with unbounded weight
Marek Galewski
and 1 more
March 07, 2023
We investigate fourth order equations with Dirichlet type boundary conditions with perturbation unbounded from above making the problem non-potential. We apply variational method to some auxiliary problem and conclude about the existence and uniqueness to the original one. Multiple solutions are also considered. We conclude our note with the result pertaining to the continuous dependence on parameters.