Existence Results for Φ-laplacian Dirichlet Bvp of Differential Inclusions with Application to Control Theory
نویسندگان
چکیده
In this paper, we study φ-Laplacian problems for differential inclusions with Dirichlet boundary conditions. We prove the existence of solutions under both convexity and nonconvexity conditions on the multivalued right-hand side. The nonlinearity satisfies either a Nagumotype growth condition or an integrably boundedness one. The proofs rely on the Bonhnenblust-Karlin fixed point theorem and the BressanColombo selection theorem respectively. Two applications to a problem from control theory are provided.
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