https://orcid.org/0000-0002-7043-6059
References
- El Khalil A, Laghzal M, Morchid Alaoui MD, et al. On the eigengraph for p-biharmonic equations with rellich potentials and weight. Bull Transilvania Univ Brasov. 2020;13:153–164.
- El Khalil A, Morchid Alaoui MD, Laghzal M, et al. On a nonlinear PDE involving weighted p-Laplacian. Bol Soc Paran Mat. 2020;38:131–145.
- El Khalil A, Laghzal M, Morchid Alaoui MD, et al. Eigenvalues for a class of singular problems involving p(x)-Biharmonic operator and q(x)-Hardy potential. Adv Nonlinear Anal. 2019;9:1130–1144.
- Laghzal M, El Khalil A, Morchid Alaoui MD, et al. Eigencurves of the p(⋅)-biharmonic operator with a Hardy-type term. Moroccan J Pure Appl Anal. 2020;6:198–209.
- Laghzal M, Touzani A. Existence of mountain-pass solutions for p(⋅)-biharmonic equation with Rellich-type term. Filomat, to appear.
- Makvand Chaharlang M, Razani A. A fourth order singular elliptic problem involving p-biharmonic operator. Taiwan J Math. 2019;23:589–599. doi:10.11650/tjm/180906, https://projecteuclid.org/euclid.twjm/1537927424.
- Kirchhoff G. Mechanik. Leipzig: Teubner; 1883.
- Avci M, Cekic B, Mashiyev RA. Existence and multiplicity of the solutions of the p(x)-Kirchhoff type equations via genus theory. Math Methods Appl Sci. 2011;34:1751–1759.
- Cammaroto F, Vilasi L. Multiple solutions for a Kirchhoff-type problem involving the p(x)-Laplacian operator. Nonlinear Anal. 2011;74:1841–1852.
- Dai GW, Hao RF. Existence of solutions for a p(x)-Kirchhoff-type equation. J Math Anal Appl. 2009;359:275–284.
- Fan XL. On nonlocal p(x)-Laplacian dirichlet problems. Nonlinear Anal. 2010;72:3314–3323.
- Heidari S, Razani A. Multiple solutions for a class of nonlocal quasilinear elliptic systems in Orlicz-Sobolev spaces. Bound Value Probl. 2021;22:15 pages. https://doi.org/10.1186/s13661-021-01496-8.
- Makvand Chaharlang M, Razani A. Two weak solutions for some Kirchhoff type problem with Neumann boundary condition. Georgian Math J. 2020;10 pages. https://doi.org/10.1515/gmj-2019-2077.
- Ragusa MA, Tachikawa A. Regularity for minimizers for functionals of double phase with variable exponents. Adv Nonlinear Anal. 2020;9:710–728.
- Ragusa MA, Tachikawa A. Partial regularity of the minimizers of quadratic functionals with VMO coefficients. J Lond Math Soc – Second Ser. 2005;3:609–620.
- Diening L, Harjulehto P, Hästö P, et al. Lebesgue and sobolev spaces with variable exponents. Berlin: Springer-Verlag; 2011.
- Fan XL, Zhao D. On the spaces Lp(x)(Ω) and Wmp(x)(Ω). J Math Anal Appl. 2001;263:424–446.
- Kovacik O, Rakosnik J. On spaces Lp(x)(Ω) and Wkp(x)(Ω). Czechoslovak Math J. 1991;41:592–618.
- Kavian O. Introduction à la théorie des points critiques et applications aux problèmes elliptiques. Heidelbreg: Springer-Verlag; 1993.
- Krasnoselskii MA. Topological methods in the theory of nonlinear integral equations. New York: MacMillan;1964.
- Fan XL, Zhang QH. Existence of solutions for p(x)-Laplacian dirichlet problem. Nonlinear Anal. 2003;52:1843–1852.
- Davies EB. The Hardy constant. Quart J Math Oxford Ser. 1995;6:417–431.
- Garca Azorero JP, Peral Alonso I. Hardy inequalities and some critical elliptic and parabolic problems. Electron J Differ Equ. 1998;144:441–476.
- Ambrosetti A, Rabinowitz PH. Dual variational methods in critical point theory. J Funct Anal. 1973;14:349–381.
- Clarke DC. A variant of the Lusternik-Schnirelman theory. Indiana Univ Math J. 1972;22:65–74.