Portugaliae Mathematica   EMIS ELibM Electronic Journals PORTUGALIAE
MATHEMATICA
Vol. 62, No. 4, pp. 421-436 (2005)

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A general existence theorem for differential inclusions in the vector valued case

B. Dacorogna and G. Pisante

Section de Mathématiques,
EPFL, 1015 Lausanne -- SWITZERLAND
E-mail: bernard.dacorogna@epfl.ch
School of Mathematics, Georgia Institute of Technology,
Atlanta, GA 30332 -- USA
E-mail: pisante@math.gatech.edu

Abstract: We discuss the existence of solutions, $u\in\varphi+W_{0}^{1,\infty}(\Omega;\mathbb{R}^{m})$, for differential inclusions of the form
$$ Du(x)\in E,\rmqd{a.e. in} \Omega. $$

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Electronic version published on: 7 Mar 2008.

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