Multiplicity result for a nonhomogeneous Yamabe type equation involving the Kohn Laplacian

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:399

Article

Maalaoui, Ali^1,2 

[1] SISSA, Int Sch Adv Studies, I-34136 Trieste, Italy

[2] Rutgers State Univ, Dept Math, Hill Ctr Math Sci, Piscataway, NJ 08854 USA

关键词: Sub-Laplacian;    CR-Yamabe;    Multiplicity result;   

DOI  :  10.1016/j.jmaa.2012.10.014

来源: Elsevier

【 摘 要 】

We consider the nonhomogeneous Yamabe equation on a bounded set of the Heisenberg group -Delta(H)u = vertical bar u vertical bar(q*-2) u+f, where f is a small perturbation in the C-0 sense. Under suitable hypotheses, we will state a multiplicity existence result for positive solutions with zero Dirichlet boundary conditions. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

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