Ir al contenido

Documat


Existence and multiplicity of solutions for a class of nonlocal elliptic transmission systems

  • Abdelmalek, Brahim [1] ; Ali, Djellit [2] ; Sameh, Tamrabet [1]
    1. [1] University of Souk-Ahras.
    2. [2] University Badji-Mokhtar.
  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 42, Nº. 6, 2023, págs. 1567-1582
  • Idioma: inglés
  • DOI: 10.22199/issn.0717-6279-5849
  • Enlaces
  • Resumen
    • By using the approach based on variationnel methods and critical point theory, more precisely, the symmetric mountain pass theorem, we study the existence and multiplicity of weak solutions for a class of elliptic transmision system with nonlocal term.

  • Referencias bibliográficas
    • [[1] B. Abdelmalek, A. Djellit and S. Tas, “Existence of solutions for an elliptic p(x)-Kirchhoff-type systems in unbounded domain”, Bol....
    • C. O. Alves and F. J. S. Correa, “On existence of solutions for a class of problem involving a nonlinear operator”, Communication on Nonlinear...
    • A. Ayoujil and A. Ourraoui, “On a nonlocal elliptic system with transmission conditions”, Adv. Pure Appl. Math., 2016.
    • B. Cekic, R. Mashiyev and G. T. Alisoy, “On The Sobolev-type Inequality for Lebesgue Spaces with a Variable Exponent”, International Mathematical...
    • B. Cekic and R. A. Mashiyev, “Nontrivial solution for a nonlocal elliptic transmission problem in variable exponent Sobolev space”, Abstract...
    • G-S Chen, H-Y Tang, D-Q Zhang, Y-X Jiao and H-X Wang, “Existence of three solutions for a nonlocal elliptic system of (p, q)-Kirchhoff type”,...
    • N. T. Chung, “On Some p(x)-Kirchhoff-type eqautions with weights”; J. Appl. Math. & Informatics, vol. 32, no. 1-2, pp. 113-128, 2014.
    • G. Dai, “Existence of solutions for nonlocal elliptic systems with non-standard growth conditions”, Elec. J. of Dif Equ, vol. 2011, no. 137,...
    • A. Djellit, Z. Youbi and S. Tas, “Existence of solution for elliptic systems in RN involving the p (x)-Laplacian”, Elec. J. of Dif Equ, vol....
    • A. Djellit and S. Tas, “Existence of solution for a class of elliptic systems in RN involving the p-Laplacian”, Elec. J. of Dif Equ, vol....
    • A. El Hamidi, “Existence results to elliptic systems with nonstandard growth conditions”, J. Math. Anal. Appl, vol. 300, pp. 30-42, 2004.
    • D. E. Edmunds and J. Rázkosnflk, ”Sobolev embedding with variable exponent”, Studia Mathematics, vol. 143, pp. 267-293, 2000.
    • X. Fan, J.S. Shen, D. Zhao, “Sobolev embedding theorems for spaces Wk,p(x) (Ω)”, J. Math. Anal. Appl., vol. 262, pp. 749-760, 2001.
    • X. L. Fan and D. Zhao, ”On the spaces Lp(x) and W1,p(x) “, Journal of Mathematical Analysis and Applications, Vol. 263, pp. 424-446, 2001.
    • X. Fan, “A constrained minimization problem involving the p(x)-Laplacian in RN”, Nonlinear Anal., Vol. 69, pp. 3661-3670, 2008.
    • F. Jaafri, A. Ayoujil and M. Berrajaa, “On the binonlocal fourth order elliptic problem”, Proyecciones, vol. 40, no. 01, pp. 239-253, 2021.
    • T. C. Halsey, “Electrorheological fluids”, Science, vol. 258, no. 5083, pp. 761-766, 1992.
    • X. Han and G. Dai, “On the sub-supersolution method for p(x)-Kirchhoff type equations”, Journal of Inequalities and Applications, vol. 283,...
    • O. Kovăcĭk, and J. Răkosnĭk, “On spaces Lp(x) and Wk,p(x)” . Czechoslov. Math. J., vol. 41, pp. 592-618, 1991.
    • G. Kirchhoff, Mechanik. Teubner, Leipezig, 1983.
    • J. E. Munoz Rivera and H. P. Oquendo, “The transmission problem of viscoelasticwaves”, Acta. Appl. Math., Vol. 62 No. 1, pp. 1-21, 2000.
    • Q. Miao, and Z. Yangv, “Existence of solutions for p(x)-Kirchhoff type equations with singular coefficients in RN“, J. Adv. Rese in Dyn. Cont....
    • R. Ma, G. Dai and C. Gao, “Existence and multiplicity of positive solutions for a class of p(x)-Kirchhoff type equations”, Boundary Value...
    • R. Kajikiya, “A critical point theorem related to the symmetric mountain pass lemma and its applications to elliptic equations”, Journal of...
    • J. Y. Park, J. J. Bae and I. H. Jung, “Uniform decay of solution for wave equation of Kirchhoff type with nonlinear boundary damping and memory...
    • M-C. Wei and C-L. Tang, “Existence and Multiplicity of Solutions for p(x)-Kirchhoff-Type Problem in RN “, Bull. Malays. Math. Sci. Soc., vol....

Fundación Dialnet

Mi Documat

Opciones de artículo

Opciones de compartir

Opciones de entorno