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    STUDIA MATHEMATICA - Issue no. 4 / 2023  
         
  Article:   MULTIPLICITY RESULTS FOR NONHOMOGENOUS ELLIPTIC EQUATION INVOLVING THE GENERALIZED PANEITZ-BRANSON OPERATOR.

Authors:  KAMEL TAHRI.
 
       
         
  Abstract:   DOI: 10.24193/subbmath.2023.4.19

Received 08 December 2020; Accepted 22 September 2021. Published Online: 2023-12-11
Published Print: 2023-12-30
pp. 931-941

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Under some conditions and using critical points theory, we prove the existence of two solutions of the elliptic equation. At the end, we give a geometric example when the equation has negative and positive solutions.

Mathematics Subject Classification (2010): 58J05, 58E99.
Keywords: Riemannian manifold, multiplicity result, nonhomogenous, Paneitz- Branson operator, critical points theory
 
         
     
         
         
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