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Journal of Convex Analysis 20 (2013), No. 4, 947--954
Copyright Heldermann Verlag 2013

On a Nonlinear Elliptic Transmission Problem with Critical Growth

Giovany M. Figueiredo
Universidade Federal do Pará, Faculdade de Matemática, CEP 66075-110 Belém PA, Brasil

Marcelo Montenegro
Universidade Estadual de Campinas, IMECC, Departamento de Matemática, Rua Sérgio Buarque de Holanda 651, CEP 13083-859 Campinas SP, Brasil

This paper is concerned with the existence of nontrivial solutions to a class of transmission problems with critical growth in a bounded domain on RN. Our approach is based on variational methods.

Keywords: Semilinear elliptic equation, nonlinear transmission condition, critical growth.

MSC: 45M20, 35J65, 35J20, 35Q60, 78A50.

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