Du Bois-Reymond Type Lemma and Its Application to Dirichlet Problem with the
direct variational method
du Bois–Reymond lemma
mountain pass lemma
p(t)–Laplacian
time scales
variational methods
Journal
Entropy (Basel, Switzerland)
ISSN: 1099-4300
Titre abrégé: Entropy (Basel)
Pays: Switzerland
ID NLM: 101243874
Informations de publication
Date de publication:
16 Oct 2021
16 Oct 2021
Historique:
received:
03
10
2021
revised:
14
10
2021
accepted:
14
10
2021
entrez:
23
10
2021
pubmed:
24
10
2021
medline:
24
10
2021
Statut:
epublish
Résumé
This paper is devoted to study the existence of solutions and their regularity in the p(t)-Laplacian Dirichlet problem on a bounded time scale. First, we prove a lemma of du Bois-Reymond type in time-scale settings. Then, using direct variational methods and the mountain pass methodology, we present several sufficient conditions for the existence of solutions to the Dirichlet problem.
Identifiants
pubmed: 34682076
pii: e23101352
doi: 10.3390/e23101352
pmc: PMC8534737
pii:
doi:
Types de publication
Journal Article
Langues
eng