Nonlocal Kirchhoff-type problem involving variable exponent and logarithmic nonlinearity on compact Riemannian manifolds

被引：0
作者：
Hind Bouaam
Mohamed El Ouaarabi
Chakir Allalou
机构：
[1] Faculty of Science and Technics of Beni Mellal,Laboratory LMACS
来源：
Analysis and Mathematical Physics | 2023年 / 13卷
关键词：
Nonlocal Kirchhoff-type problem; Compact Riemannian manifolds; Logarithmic nonlinearity; Nehari manifold; Nontrivial weak solutions; 35J20; 35J70; 35J47;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The goal of this paper is to investigate the existence and multiplicity of nontrivial weak solutions for a nonlocal Kirchhoff-type problem with variable exponent and logarithmic nonlinearity on compact Riemannian manifolds. The proof of our main result uses the Nehari manifold approach.
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[1]  
Aberqi A(2022)Existence results for double phase problem in Sobolev–Orlicz spaces with variable exponents in complete manifold Mediterr. J. Math. 19 158-633
[2]  
Bennouna J(2022)Existence and uniqueness results for a class of p(x)-Kirchhoff-type problems with convection term and Neumann boundary data J. Elliptic Parabol. Equ. 8 617-330
[3]  
Benslimane O(1996)On the well-posedness of the Kirchhoff string Trans. Am. Math. Soc. 348 305-1400
[4]  
Ragusa MA(2015)The Nehari manifold for nonlocal elliptic operators involving concave-convex nonlinearities Zeitschrift Angew. Math. Phys. 66 1387-467
[5]  
Allalou C(1992)On a class of nonlocal nonlinear elliptic problems Math. Modell. Numer. Anal. 26 447-239
[6]  
El Ouaarabi M(2022)On a class of p(x)-Laplacian-like Dirichlet problem depending on three real parameters Arab. J. Math. 11 227-280
[7]  
Melliani S(2022)Weak solution of a Neumann boundary value problem with p(x)-Laplacian-like operator Analysis. 42 271-1415
[8]  
Arosio A(2022)Existence of weak solution for a class of p(x)-Laplacian problems depending on three real parameters with Dirichlet condition Bol. Soc. Mat. Mex. 28 31-166
[9]  
Panizzi S(2016)Sobolev spaces with variable exponents on complete manifolds J. Funct. Anal. 270 1379-570
[10]  
Chen W(2020)Least-energy nodal solutions of critical Kirchhoff problems with logarithmic nonlinearity Anal. Math. Phys. 10 45-710
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