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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. |
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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 |
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