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Extremal Solutions and Strong Relaxation for Second Order Multivalued Boundary Value Problems |
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| Authors: | Leszek Gasinski Nikolaos S. Papageorgiou |
| Affiliation: | (1) Institute of Computer Science, Jagiellonian University, ul. Nawojki 11, 30-072 Cracow, Poland;(2) Department of Mathematics, Zografou Campus, National Technical University, Athens, 15780, Greece |
| Abstract: | In this paper we study semilinear second order differential inclusions involving a multivalued maximal monotone operator. Using notions and techniques from the nonlinear operator theory and from multivalued analysis, we obtain “extremal” solutions and we prove a strong relaxation theorem. This paper has been partially supported by the State Committee for Scientific Research of Poland (KBN) under research grants No. 2 P03A 003 25 and No. 4 T07A 027 26. |
| Keywords: | maximal monotone operator pseudomonotone operator Hartman condition convex and nonconvex problems extremal solutions strong relaxation |
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