Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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ON KIRCHHOFF TYPE EQUATIONS WITH SINGULAR NONLINEARITIES, SUB-CRITICAL AND CRITICAL EXPONENT

  • Mohammed El Mokhtar Ould El Mokhtar (Departement of Mathematics, College of Science, Qassim University) ;
  • Saleh Fahad Aljurbua (Departement of Mathematics, College of Science, Qassim University)
  • Received : 2023.06.07
  • Accepted : 2023.10.02
  • Published : 2024.06.15
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Abstract

This paper is devoted to the existence of solutions for Kirchhoff type equations with singular nonlinearities, sub-critical and critical exponent. By using the Nehari manifold and Maximum principle theorem, the existence of at least two distinct positive solutions is obtained.

Keywords

Acknowledgement

The authors gratefully acknowledge Qassim University, represented by the Deanship of Scientific Research, on the material support for this research under the number(4524) during the academic year 1445AH/2024AD.

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