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 −∆p u + µ∆q u with µ ∈ R. Local and nonlocal boundary value problems fitting into this nonstandard setting are examined.
Liu Z., Livrea R., Motreanu D., Zeng S. (2020). Variational differential inclusions without ellipticity condition. ELECTRONIC JOURNAL ON THE QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2020(43), 1-17 [10.14232/ejqtde.2020.1.43].
Variational differential inclusions without ellipticity condition
Livrea R.;
2020-01-01
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 −∆p u + µ∆q u with µ ∈ R. Local and nonlocal boundary value problems fitting into this nonstandard setting are examined.
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