On a bi-nonlocal fourth order elliptic problem

• F. Jaafri, Fatna ^[1] ; Ayoujil, Abdesslem ^[2] ; Berrajaa, Mohamed ^[1]
  1. [1] University Mohamed I.
  2. [2] Regional Centre of Trades Education and Training.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 40, Nº. 1, 2021, págs. 239-253
• Idioma: inglés
• DOI: 10.22199/issn.0717-6279-2021-01-0015
• Enlaces
  • Texto completo
• Resumen

  • This paper is aiming at obtaining weak solution for a bi-nonlocal fourth order elliptic problem with Navier boundary condition. Our approach is based on variational methods and critical point theory.

• Referencias bibliográficas
  • A. Ayoujil and A.R. El Amrouss, “On the spectrum of a fourth order elliptic equation with variable exponent”, Nonlinear analysis: theory,...
  • A. Ayoujil and A.R. El Amrouss, “Continuous spectrum of a fourth order nonhomogeneous elliptic equation with variable exponent”, Electronical...
  • A. Ayoujil, “Existence and nonexistence results for weighted fourth order eigenvalue problems with variable exponent”, Boletim da Sociedade...
  • A. Ayoujil, “Weighted eigenvalue problems involving a fourth-order elliptic equation with variable exponent”, International journal of dynamical...
  • G. Bin, Q.- M. Zhou and Y.- H Wu, “Eigenvalues of the p (x)−biharmonic operator with indefinite weight”, Zeitschrift für angewandte mathematik...
  • I. Caffarelli, “Non-local diffusions, drifts and games”, in Nonlinear partial differential equations, H. Holden and K. Karlsen, Eds. Berlin:...
  • F. J. S. Corrêa and A. C. dos Reis Costa, “On a bi-nonlocalp(x)-Kirchhoff equation via Krasnoselskiis genus”, Mathematical methods in the...
  • F. J. S. Corrêa and A. C. dos Reis Costa, “A variational approach for a bi-nonlocal elliptic problem involving the p(x)-Laplacian and non-linearity...
  • X. Fan and D. Zhao, “On the spaces Lp(x)(Ω) and Wm,p(x)(Ω)”, Journal of mathematical analysis and applications, vol. 263, no. 2, pp. 424–446,...
  • X. L. Fan, J. S. Shen, and D. Zhao, “Sobolev embedding theorems for spaces Wk,p(x) (Ω)”, Journal mathematical analysis applications, vol....
  • G. Kirchhoff, Mechanik, Leipzig: Teubner, 1883.
  • R. Kajikiam, “A critical point theorem related to the symmetric mountain pass lemma and its applications to elliptic equations”, Journal functional...
  • T. F. Ma, “Existence results for a model of nonlinear beam on elastic bearings”, Applied mathematical letters, vol. 13, no. 5, pp. 11-15,...
  • A. Mao and W. Wang, “Nontrivial solutions of nonlocal fourth order elliptic equation of Kirchhoff type in ℝ3”, Journal mathematical analysis...
  • A. Mao and W. Wang, “Signed and sign-changing solutions of bi-nonlocal fourth order elliptic problem”, Journal mathematical physics, vol....
  • F. Wang , T. An, and Y. An, “Existence of solutions for fourth order elliptic equations of Kirchhoff type on RN”, Electronic journal of qualitative...
  • J. Yaghoub, “Infinitely many solutions for a bi-nonlocal equation with sign-changing weight functions”, Bulletin of the Iranian Mathematical...
  • A. Zanga and Y. Fu, “Interpolation inequalities for derivatives in variable exponent Lobegue Sobolev spaces”, Nonlinear analysis: theory,...