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    STUDIA MATHEMATICA - Issue no. 1 / 2022  
         
  Article:   ON A PURE TRACTION PROBLEM FOR THE NONLINEAR ELASTICITY SYSTEM IN SOBOLEV SPACES WITH VARIABLE EXPONENTS.

Authors:  ZOUBAI FAYROUZ, MEROUANI BOUBAKEUR.
 
       
         
  Abstract:  
DOI: 10.24193/subbmath.2022.1.12

Published Online: 2022-03-10
Published Print: 2022-03-31
pp. 167-180

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The paper deals with a nonlinear elasticity system with nonconstant coefficients. The existence and uniqueness of the solution of Neumann''''s problem is proved using Galerkin techniques and monotone operator theory, in Sobolev spaces with variable exponents.

Keywords: Spaces of Lebesgue and Sobolev with variable exponents, nonlinear elasticity system, operator of Leray-Lions, existence, uniqueness, Neumann problem.

Mathematics Subject Classification (2010): 35J45, 35J55, 35A05, 35A07, 35A15.
 
         
     
         
         
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