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The paper investigates a new type of differential inclusion problem driven by a weighted (p, q)-Laplacian and subject to Dirichlet boundary condition. The problem fully depends on the solution and… Click to show full abstract
The paper investigates a new type of differential inclusion problem driven by a weighted (p, q)-Laplacian and subject to Dirichlet boundary condition. The problem fully depends on the solution and its gradient. The main novelty is that the problem exhibits simultaneously a nonlocal term involving convolution with the solution and a multivalued term describing discontinuous nonlinearities for the solution. Results stating existence, uniqueness and dependence on parameters are established.
Keywords:
problems convolution;
differential inclusion;
convolution discontinuous;
discontinuous nonlinearities;
inclusion problems
Journal Title: Evolution Equations and Control Theory
Year Published: 2019
Link to full text (if available)
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Journal Title: Evolution Equations and Control Theory
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!