Multiplicity of solutions for a class of fractional p ( x , ⋅ ) $p(x,\cdot )$ -Kirchhoff-type problems without the Ambrosetti–Rabinowitz condition

Abstract We are interested in the existence of solutions for the following fractional p ( x , ⋅ ) $p(x,\cdot )$ -Kirchhoff-type problem: { M ( ∫ Ω × Ω | u ( x ) − u ( y ) | p ( x , y ) p ( x , y ) | x − y | N + p ( x , y ) s d x d y ) ( − Δ ) p ( x , ⋅ ) s u = f ( x , u ) , x ∈ Ω , u = 0 , x ∈ ∂ Ω ,...

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Autors principals:	M. K. Hamdani, J. Zuo, N. T. Chung, D. D. Repovš
Format:	Artigo
Idioma:	Inglês
Publicat:	SpringerOpen 2020-09-01
Col·lecció:	Boundary Value Problems
Matèries:	Fractional p ( x , ⋅ ) $p(x,\cdot )$ -Kirchhoff-type problems p ( x , ⋅ ) $p(x,\cdot )$ -fractional Laplace operator Ambrosetti–Rabinowitz type conditions Symmetric mountain pass theorem Cerami compactness condition Fractional Sobolev spaces with variable exponent
Accés en línia:	http://link.springer.com/article/10.1186/s13661-020-01447-9
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