Existence results to elliptic systems with nonstandard growth conditions

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 Sér. I Math. 329 (1999) 393–398; Math. USSR Izv. 29 (1987) 33...

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Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 300; no. 1; pp. 30 - 42
Main Author El Hamidi, A.
Format Journal Article
LanguageEnglish
Published San Diego, CA Elsevier Inc 01.12.2004
Elsevier
Subjects
Exact sciences and technology
Generalized Lebesgue–Sobolev spaces
Mathematical analysis
Mathematics
Mountain pass geometry
Nonlinear elliptic systems
Nonstandard growth conditions
Partial differential equations
Sciences and techniques of general use
Generalized Lebesgue–Sobolev spaces
Mountain pass geometry
Nonlinear elliptic systems
Nonstandard growth conditions
Non standard growth condition
Elliptic equation
Fluid dynamics
Mathematical analysis
Multiplicity
Lebesgue Sobolev space
Non linear system
Partial differential equation
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Summary: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 Sér. 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.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2004.05.041