Amor Drissi, Abdeljabbar Ghanmi, Dušan D. Repovš
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.
DOI: 10.58997/ejde.2023.61
Show me the PDF file (336 KB), TEX file for this article.
 |
Amor Drissi Department of Mathematics Faculty of Sciences University of Tunis El Manar 2092 Tunis, Tunisia email: amor.drissi@ipeiem.utm.tn |
|---|---|
 |
Abdeljabbar Ghanmi Department of Mathematics Faculty of Sciences University of Tunis El Manar 2092 Tunis, Tunisia email: abdeljabbar.ghanmi@lamsin.rnu.tn |
 |
Dušan D. Repovš Faculty of Education and Faculty of Mathematics and Physics University of Ljubljana, Slovenia email: dusan.repovs@guest.arnes.si |
Return to the EJDE web page