Existence results to elliptic systems with nonstandard growth conditions

[摘要] Nonstandard growth conditions in partial differential equations have been the subject of recent developments in elastic mechanics and electrorheological fluid dynamics [Lecture Notes in Mathematics, vol. 1748, 2000; C. R. Acad. Sci. Paris Ser. I Math. 329 (1999) 393-398; Math. USSR Izv. 29 (1987) 33-66]. In this work, elliptic systems with nonstandard growth conditions are studied. Existence and multiplicity results, under growth conditions on the reaction terms, are established. (C) 2004 Elsevier Inc. All rights reserved.

[发布日期] 2004-12-01

[关键词] nonlinear elliptic systems;nonstandard growth conditions;generalized Lebesgue-Sobolev spaces;mountain pass geometry