Nonhomogeneous Elliptic Kirchhoff Equations of the P-Laplacian Type

The Existence Result for a p -Kirchhoff-Type Problem Involving Critical Sobolev Exponent

“…It is worth mentioning that the first work on the Kirchhoff-type problem with critical Sobolev exponent is Alves et al in [3]. After that, many researchers dedicated to the study of several kinds of elliptic Kirchhoff equations with critical exponent of Sobolev in bounded domain or in the whole space ℝ N ; some interesting studies can be found in [4][5][6][7][8][9] and the references therein. More precisely, Naimen in [8] generalized the results of [10] to the semilinear Kirchhoff problem:…”

“…where M R + ⟶ R + is a continuous function satisfying some extra assumptions and f Ω × R ⟶ R is a continuous function satisfying some conditions. Benaissa and Matallah in [4] discussed the problem…”

Existence of Solutions for p-Kirchhoff Problem of Brézis-Nirenberg Type with Singular Terms

“…In recent years, Kirchhoff-type problems received much attention, mainly after the famous article of Lions [2]; they have been studied in many papers by using variational methods, see [3][4][5][6][7][8][9] and the references therein.…”

Existence of Solutions for a p‐Kirchhoff‐Type Problem with Critical Exponent

“…is problems create many difficulties in applying variational methods, we refer the readers to [5][6][7][8][9][10][11][12][13] and the references therein. More precisely, Naimen in [10] generalized the results of [2] for 3-and 4-dimensional Kirchhofftype equations.…”