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Monotonicity and Symmetry of Solutions of Elliptic Systems in General Domains

In: Djairo G. de Figueiredo - Selected Papers

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  • Djairo G. De Figueiredo

    (IMECC—UNICAMP)

Abstract

A new Maximum Principle for elliptic equations has appeared recently in works of Berestycki, Nirenberg and Varadhan, see for instance. The aim of this note is to extend this Maximum Principle to cooperative elliptic systems and then to apply it to monotonicity and symmetry properties of nonlinear elliptic systems. In this way we get more general results than the ones in and, with even simpler proofs.

Suggested Citation

  • Djairo G. De Figueiredo, 1994. "Monotonicity and Symmetry of Solutions of Elliptic Systems in General Domains," Springer Books, in: David G. Costa (ed.), Djairo G. de Figueiredo - Selected Papers, edition 127, pages 417-421, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-02856-9_28
    DOI: 10.1007/978-3-319-02856-9_28
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