Nonhomogeneous polyharmonic elliptic problems at critical growth with symmetric data

Mónica Clapp; Marco Squassina

doi:10.3934/cpaa.2003.2.171

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2003, Volume 2, Issue 2: 171-186. Doi: 10.3934/cpaa.2003.2.171

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Nonhomogeneous polyharmonic elliptic problems at critical growth with symmetric data

Mónica Clapp^1, and
Marco Squassina^2,

1.
Instituto de Matemáticas, Universidad Nacional Autónoma de México, Circuito Exterior, Ciudad Universitaria 04510
2.
Dipartimento di Matematica e Fisica, Università Cattolica del Sacro Cuore, Via Musei 41, 25121, Brescia

Received: February 28, 2002

Revised: January 31, 2003

Published: May 2003

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Abstract

We show the existence of multiple solutions of a perturbed polyharmonic elliptic problem at critical growth with Dirichlet boundary conditions when the domain and the nonhomogenous term are invariant with respect to some group of symmetries.

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Mathematics Subject Classification: 31B30, 58E05.

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