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Existence and comparison results for noncoercive and nonmonotone multivalued elliptic problems

โœ Scribed by S. Carl

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
255 KB
Volume
65
Category
Article
ISSN
0362-546X

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โœฆ Synopsis

We consider noncoercive quasilinear elliptic inclusions under multivalued flux boundary conditions involving multifunctions of Clarke's generalized gradient. Our main goal is to provide existence and comparison results which are based on an appropriate generalization of the notions of subsolutions and supersolutions. Furthermore, compactness and extremality results of the solution set enclosed by an ordered pair of sub-supersolutions will be proved.

๐Ÿ“œ SIMILAR VOLUMES

Existence and Relaxation Results for Non
Existence and Relaxation Results for Nonlinear Second-Order Multivalued Boundary Value Problems in RN
โœ Nikolaos Halidias; Nikolaos S Papageorgiou ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 506 KB

In this paper we study second order differential inclusions with nonlinear boundary conditions. Our formulation is general and incorporates as special cases wellknown problems such as the Dirichlet (Picard), Neumann, and periodic problems. We prove existence theorems under various sets of hypotheses