Electronic Journal of Differential Equations, Vol. 2023 (2023), No. 61, pp. 1-12.

Title: Singular p-biharmonic problems involving the Hardy-Sobolev exponent
       
Authors: Amor Drissi (Univ. of Tunis El Manar, Tunis, Tunisia)
         Abdeljabbar Ghanmi (Univ. of Tunis El Manar, Tunis, Tunisia)
         Dusan D. Repovs (Univ. of Ljubljana, Slovenia)
         
Abstract: 
This article concerns the existence and multiplicity of solutions for the singular 
p-biharmonic problem involving the Hardy potential and the critical Hardy-Sobolev exponent.
To this end we use variational methods combined with the Mountain pass theorem and the Ekeland variational principle. We illustrate the usefulness of our results with and example.

Submitted March 8, 2023. Published September 18, 2023.
Math Subject Classifications: 31B30, 35J35, 49J35.
Key Words: p-Laplacian operator; p-Biharmonic equation; Variational method;
 Existence of solutions; Hardy potential; Critical Hardy-Sobolev exponent;
 Ekeland variational principle; Mountain pass geometry.