On nontrivial solutions of critical polyharmonic elliptic systems

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:247

Article

Montenegro, Marcos

关键词: Critical Sobolev exponents;    Polyharmonic elliptic system;    Variational methods;   

DOI  :  10.1016/j.jde.2009.03.005

来源: Elsevier

【 摘 要 】

In the present work, we consider elliptic systems involving polyharmonic operators and critical exponents. We discuss the existence and nonexistence of nontrivial solutions to these systems. Our theorems improve and/or extend the ones established by Bartsch and Guo [T. Bartsch, Y. Guo, Existence and nonexistence results for critical growth polyharmonic elliptic systems, J. Differential Equations 220 (2006) 531-543] in both aspects of spectral interaction and regularity of lower order perturbations. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

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