1. Variational differential inclusions without ellipticity condition
- Author
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Dumitru Motreanu, Shengda Zeng, Roberto Livrea, Zhenhai Liu, Liu Z., Livrea R., Motreanu D., and Zeng S.
- Subjects
Competing (P,Q)-Laplacian ,Applied Mathematics ,010102 general mathematics ,Mathematical analysis ,hemivariational inequality ,local and nonlocal operators ,q)$-laplacian ,01 natural sciences ,variational problem ,010101 applied mathematics ,Differential inclusion ,Settore MAT/05 - Analisi Matematica ,QA1-939 ,lack of ellipticity ,0101 mathematics ,Mathematics ,competing $(p - Abstract
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.
- Published
- 2020