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.
|Number of pages||17|
|Journal||ELECTRONIC JOURNAL ON THE QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS|
|Publication status||Published - 2020|
All Science Journal Classification (ASJC) codes
- Applied Mathematics