An example in the homogenization of a degenerate elliptic equation

Article type: Research Article

Authors: Nandakumaran, A.K.^; | Rajesh, M. | Mallikarjuna Rao, K.S.

Affiliations: Department of Mathematics, Indian Institute of Science, Bangalore‐560 012, India E‐mail: nands@math.iisc.ernet.in | CMAF, Univ. de Lisboa, Aven. Gama Pinto 2, 1649‐003 Lisbon, Portugal E‐mail: rajesh@ptmat.fc.ul.pt | LATP/CMI, Université de Provence, Marseille, France E‐mail: arjuna@cmi.univ‐mrs.fr

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Abstract: In this article we study the homogenization, of a particular example, of degenerate elliptic equations of second order in the setup of viscosity solutions. These results are an attempt to extend the corresponding results of Evans [8] to degenerate situations.

Journal: Asymptotic Analysis, vol. 36, no. 3-4, pp. 187-201, 2003