On a class of fractional 𝑝(·, ·)−Laplacian problems with sub-supercritical nonlinearities

• Autores: Abdelilah Azghay, Mohammed A. Nassar
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 25, Nº. 3, 2023, págs. 387-410
• Idioma: inglés
• DOI: 10.56754/0719-0646.2503.387
• Enlaces
  • Texto completo
• Resumen
  • español

    Resumen Este artículo está dedicado al estudio de una clase de problemas no locales con exponente variable que involucran al operador 𝑝(·, ·)-Laplaciano fraccionario. Bajo condiciones apropiadas se establecen algunos resultados nuevos sobre la existencia y no existencia de soluciones a través de un enfoque variacional y el método de fibración de Pohozaev.

  • English

    Abstract This paper is devoted to study a class of nonlocal variable exponent problems involving fractional 𝑝(·, ·)-Laplacian operator. Under appropriate conditions, some new results on the existence and nonexistence of solutions are established via variational approach and Pohozaev’s fibering method.n this article, we investigate the Kenmotsu manifold when applied to a Dα-homothetic deformation. Then, given a submanifold in a Dα-homothetically deformed Kenmotsu manifold, we derive the generalized Wintgen inequality. Additionally, we find this inequality for submanifolds such as slant, invariant, and anti-invariant in the same ambient space.

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