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Nonlinear boundary value problems for elliptic systems

Published online by Cambridge University Press:  20 January 2009

A. Cañada
A. Cañada
Affiliation:
Departamento de Analisis Matematico, Univeristy de Granada, 18071, Granada, Spain
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The purpose of this paper is to discuss non-linear boundary value problems for elliptic systems of the type

where Ak is a second order uniformly elliptic operator and is such that the problem

has a one-dimensional space of solutions that is generated by a non-negative function. The boundary ∂G is supposed to be smooth and the functions gk, 1≦k≦m are defined on Ḡ×Rm and are continuously differentiate (usually, Bk represents Dirichlet or Neumann conditions and is the first eigenvalue associated with Ak and such boundary conditions).

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 30 , Issue 2 , June 1987 , pp. 257 - 272
Copyright
Copyright © Edinburgh Mathematical Society 1987

References

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