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.
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.File in questo prodotto:
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