The STUDIA UNIVERSITATIS BABEŞ-BOLYAI issue article summary

The summary of the selected article appears at the bottom of the page. In order to get back to the contents of the issue this article belongs to you have to access the link from the title. In order to see all the articles of the archive which have as author/co-author one of the authors mentioned below, you have to access the link from the author's name.

 
       
         
    STUDIA MATHEMATICA - Issue no. 2 / 2024  
         
  Article:   A p(x)-KIRCHHOFF TYPE PROBLEM INVOLVING THE p(x)-LAPLACIAN-LIKE OPERATORS WITH DIRICHLET BOUNDARY CONDITION.

Authors:  MOHAMED EL OUAARABI, HASNAE EL HAMMAR, CHAKIR ALLALOU, SAID MELLIANI.
 
       
         
  Abstract:  DOI: 10.24193/subbmath.2024.2.07

Received 23 February 2022; Accepted 18 March 2022.
pp. 351-366

VIEW PDF

FULL PDF

This paper deals with a class of p(x)-Kirchhoff type problems involving the p(x)-Laplacian-like operators, arising from the capillarity phenomena, depending on two real parameters with Dirichlet boundary conditions. Using a topological degree for a class of demicontinuous operators of generalized (S+), we prove the existence of weak solutions of this problem. Our results extend and generalize several corresponding results from the existing literature.

Mathematics Subject Classification (2010): 35J60, 35J70, 35D30, 47H11.

Keywords: p(x)-Kirchhoff type problems; p(x)-Laplacian-like operators; weak solutions; variable exponent Sobolev spaces
 
         
     
         
         
      Back to previous page