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June  2003, 2(2): 171-186. doi: 10.3934/cpaa.2003.2.171

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, Mexico
2. 

Dipartimento di Matematica e Fisica, Università Cattolica del Sacro Cuore, Via Musei 41, 25121, Brescia, Italy

Received  March 2002 Revised  February 2003 Published  June 2003

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.
Keywords: Polyharmonic problems, symmetric domains, multiplicity of solutions..
Mathematics Subject Classification: 31B30, 58E0.
Citation: Mónica Clapp, Marco Squassina. Nonhomogeneous polyharmonic elliptic problems at critical growth with symmetric data. Communications on Pure & Applied Analysis, 2003, 2 (2) : 171-186. doi: 10.3934/cpaa.2003.2.171
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