Nonlinear elliptic problems in weighted variable exponent Sobolev spaces by topological degree


  • M. Ait University Sidi Mohamed Ben Abdellah.
  • E. Azroul University Sidi Mohamed Ben Abdellah.



Nonlinear elliptic equation, Weighted Sobolev spaces with variable exponent, Dirichlet problem


In this paper, we prove the existence of solutions for the nonlinear p(·)-degenerate problems involving nonlinear operators of the form − div a(x, ∇u) = f(x, u, ∇u) where a and f are Carathéodory functions satisfying some nonstandard growth conditions.

Author Biographies

M. Ait, University Sidi Mohamed Ben Abdellah.


E. Azroul, University Sidi Mohamed Ben Abdellah.



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How to Cite

M. Ait Hammou and E. H. Azroul, “Nonlinear elliptic problems in weighted variable exponent Sobolev spaces by topological degree”, Proyecciones (Antofagasta, On line), vol. 38, no. 4, pp. 733-751, Oct. 2019.