The paper deals with a multivalued boundary value problem in a separable, reflexive Banach space E. The nonlinearity F is weakly upper semicontinuous. We prove the existence of global solutions in Sobolev spaces endowed with the weak topology. We consider the case of multiple solutions of the associated homogeneous linearized problem. An example completes the discussion.
Boundary value problem for differential inclusions in Frechet spaces with multiple solutions of the homogeneous problem
BENEDETTI, Irene;
2011
Abstract
The paper deals with a multivalued boundary value problem in a separable, reflexive Banach space E. The nonlinearity F is weakly upper semicontinuous. We prove the existence of global solutions in Sobolev spaces endowed with the weak topology. We consider the case of multiple solutions of the associated homogeneous linearized problem. An example completes the discussion.File in questo prodotto:
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