Multiple and Nodal Solutions for Parametric Dirichlet Equations Driven by the Double Phase Differential Operator
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Date
2023-07-04
Authors
Cai, Li
Papageorgiou, Nikolaos S.
Radulescu, Vicentiu
ORCID
0000-0003-4615-5537Advisor
Referee
Mark
Journal Title
Journal ISSN
Volume Title
Publisher
Springer Nature
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Abstract
We consider a nonlinear parametric Dirichlet problem driven by the double phase differential operator. Using variational tools combined with critical groups, we show that for all small values of the parameter, the problem has at least three nontrivial bounded solutions which are ordered and we provide the sign information for all of them. Two solutions are of constant sign and the third one is nodal. Finally, we determine the asymptotic behavior of the nodal solution as the parameter converges to zero.
Description
Citation
Complex Analysis and Operator Theory. 2023, vol. 17, issue 5, p. 1-28.
https://link.springer.com/article/10.1007/s11785-023-01379-z
https://link.springer.com/article/10.1007/s11785-023-01379-z
Document type
Peer-reviewed
Document version
Published version
Date of access to the full text
Language of document
en