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

Mustapha Ait Hammou; El Houssine Azroul

Ayuda

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

Ait Hammou, Mustapha ^[1] ; Azroul, El Houssine ^[1]
1. [1] Sidi Mohamed Ben Abdellah University
  
  Sidi Mohamed Ben Abdellah University
  
  Fes-Medina, Marruecos
Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 38, Nº. 4, 2019, págs. 733-751
Idioma: inglés
DOI: 10.22199/issn.0717-6279-2019-04-0048
Enlaces
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Resumen
- 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.
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