6533b854fe1ef96bd12af683
RESEARCH PRODUCT
Variational differential inclusions without ellipticity condition
Dumitru MotreanuDumitru MotreanuShengda ZengShengda ZengRoberto LivreaZhenhai LiuZhenhai Liusubject
Competing (PQ)-LaplacianApplied Mathematics010102 general mathematicsMathematical analysishemivariational inequalitylocal and nonlocal operatorsq)$-laplacian01 natural sciencesvariational problem010101 applied mathematicsDifferential inclusionSettore MAT/05 - Analisi MatematicaQA1-939lack of ellipticity0101 mathematicsMathematicsMathematicscompeting $(pdescription
The paper sets forth a new type of variational problem without any ellipticity or monotonicity condition. A prototype is a differential inclusion whose driving operator is the competing weighted $(p,q)$-Laplacian $-\Delta_p u+\mu\Delta_q u$ with $\mu\in \mathbb{R}$. Local and nonlocal boundary value problems fitting into this nonstandard setting are examined.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2020-06-01 | Electronic Journal of Qualitative Theory of Differential Equations |