Resumen de On a class of fractional 饾憹(路, 路)鈭扡aplacian problems with sub-supercritical nonlinearities
Abdelilah Azghay, Mohammed A. Nassar
- espa帽ol
Resumen Este art铆culo est谩 dedicado al estudio de una clase de problemas no locales con exponente variable que involucran al operador 𝑝(路, 路)-Laplaciano fraccionario. Bajo condiciones apropiadas se establecen algunos resultados nuevos sobre la existencia y no existencia de soluciones a trav茅s de un enfoque variacional y el m茅todo de fibraci贸n de Pohozaev.
- English
Abstract This paper is devoted to study a class of nonlocal variable exponent problems involving fractional 𝑝(路, 路)-Laplacian operator. Under appropriate conditions, some new results on the existence and nonexistence of solutions are established via variational approach and Pohozaev鈥檚 fibering method.n this article, we investigate the Kenmotsu manifold when applied to a D伪-homothetic deformation. Then, given a submanifold in a D伪-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.
