Electron. J. Diff. Equ., Vol. 2016 (2016), No. 30, pp. 1-15.

Eigenvalue homogenization for quasilinear elliptic equations with various boundary conditions

Julian Fernandez Bonder, Juan P. Pinasco, Ariel M. Salort

Abstract:
We study the rate of convergence for (variational) eigenvalues of several non-linear problems involving oscillating weights and subject to several types of boundary conditions in bounded domains.

Submitted September 3, 2013. Published January 20, 2016.
Math Subject Classifications: 35B27, 35P15, 35P30.
Key Words: Eigenvalue homogenization; nonlinear eigenvalues; order of convergence.

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Julián Fernández Bonder
Departamento de Matemática
FCEN - Universidad de Buenos Aires
Buenos Aires, Argentina
email: jfbonder@dm.uba.ar, http://mate.dm.uba.ar/~jfbonder
  Juan P. Pinasco
Departamento de Matemática
FCEN - Universidad de Buenos Aires
Buenos Aires, Argentina
email: jpinasco@dm.uba.ar, http://mate.dm.uba.ar/~jpinasco
  Ariel M. Salort
Departamento de Matemática
FCEN - Universidad de Buenos Aires
Buenos Aires, Argentina
email: asalort@dm.uba.ar

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