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On variational approach to fourth order problems with unbounded weight
  • Marek Galewski,
  • Dumitru Motreanu
Marek Galewski
Politechnika Lodzka Instytut Matematyki

Corresponding Author:[email protected]

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Dumitru Motreanu
Universite de Perpignan Via Domitia
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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.
07 Mar 2023Submitted to Mathematical Methods in the Applied Sciences
07 Mar 2023Submission Checks Completed
07 Mar 2023Assigned to Editor
14 Mar 2023Review(s) Completed, Editorial Evaluation Pending
14 Mar 2023Reviewer(s) Assigned
12 Jun 2023Editorial Decision: Revise Minor
13 Jun 20231st Revision Received
14 Jun 2023Submission Checks Completed
14 Jun 2023Assigned to Editor
14 Jun 2023Review(s) Completed, Editorial Evaluation Pending
15 Jun 2023Reviewer(s) Assigned
06 Jul 2023Editorial Decision: Accept