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    STUDIA MATHEMATICA - Issue no. 4 / 2023  
         
  Article:   NONLINEAR ELLIPTIC EQUATIONS BY TOPOLOGICAL DEGREE IN MUSIELAK-ORLICZ-SOBOLEV SPACES.

Authors:  MUSTAPHA AIT HAMMOU, BADR LAHMI.
 
       
         
  Abstract:   DOI: 10.24193/subbmath.2023.4.13

Received 26 December 2020; Accepted 03 June 2021. Published Online: 2023-12-11
Published Print: 2023-12-30
pp. 859-872

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We prove by using the topological degree theory the existence of at least one weak solution for the nonlinear elliptic equation

Mathematics Subject Classification (2010): 35J60, 35D30, 47J05, 47H11.
Keywords: Nonlinear elliptic equation, Musielak-Orlicz-Sobolev space, topological degree.
 
         
     
         
         
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