Solvability of a nonlocal fractional p-Kirchhoff type problem

Bouabdallah, Mohamed; Chakrone, Omar; Chehabi, Mohammed; Zuo, Jiabin

doi:10.1007/s12215-023-00875-7

Rend. Circ. Mat. Palermo, II. Ser

2023

DOI: 10.1007/s12215-023-00875-7

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Solvability of a nonlocal fractional p-Kirchhoff type problem

Mohamed Bouabdallah

Omar Chakrone

Mohammed Chehabi

et al.

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Cited by 6 publications

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Infinitely many solutions for a bi‐nonlocal problem of s(m)‐Kirchhoff‐type without Ambrosetti–Rabinowitz condition

Bouaam,

El Ouaarabi,

Melliani

2024

Math Methods in App Sciences

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This paper deals with the existence and multiplicity results for a bi‐nonlocal problem without the Ambrosetti–Rabinwitz condition, in the context of variable exponents of Sobolev spaces on compact Riemannian manifolds. Using the mountain pass theorem, we obtain that our problem admits at least nontrivial weak solutions. Also, using the fountain and dual fountain theorems, we obtain the existence of infinitely many nontrivial high or small energy solutions.

show abstract

Infinitely many solutions for a bi‐nonlocal problem of s(m)‐Kirchhoff‐type without Ambrosetti–Rabinowitz condition

Bouaam,

El Ouaarabi,

Melliani

2024

Math Methods in App Sciences

View full text Add to dashboard Cite

show abstract

A multiphase eigenvalue problem on a stratified Lie group

Choudhuri,

Tavares,

Repovš

2024

Rend. Circ. Mat. Palermo, II. Ser

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Homoclinic solutions for discrete fractional p-Laplacian equation via the Nehari manifold method

Bouabdallah,

El Ahmadi,

Lamaizi

2024

Rend. Circ. Mat. Palermo, II. Ser

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Solvability of a nonlocal fractional p-Kirchhoff type problem

Cited by 6 publications

References 44 publications

Infinitely many solutions for a bi‐nonlocal problem of s(m)‐Kirchhoff‐type without Ambrosetti–Rabinowitz condition

Infinitely many solutions for a bi‐nonlocal problem of s(m)‐Kirchhoff‐type without Ambrosetti–Rabinowitz condition

A multiphase eigenvalue problem on a stratified Lie group

Homoclinic solutions for discrete fractional p-Laplacian equation via the Nehari manifold method

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