American Institute of Mathematical Sciences

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

Nonhomogeneous polyharmonic elliptic problems at critical growth with symmetric data

 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.
Citation: Mónica Clapp, Marco Squassina. Nonhomogeneous polyharmonic elliptic problems at critical growth with symmetric data. Communications on Pure and Applied Analysis, 2003, 2 (2) : 171-186. doi: 10.3934/cpaa.2003.2.171
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