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Revista Colombiana de Matemáticas
Print version ISSN 0034-7426
Rev.colomb.mat. vol.55 no.1 Bogotá Jan./June 2021 Epub Nov 17, 2021
https://doi.org/10.15446/recolma.v55n1.99098
Original articles
Strongly nonlinear elliptic unilateral problems without sign condition and with free obstacle in Musielak-Orlicz spaces
1 Univ. Hassan I, Settat, Morocco
2 University of Nouakchott Al Aasriya, Nouakchott, Mauritania
In this paper, we prove the existence of solutions to an elliptic problem containing two lower order terms, the first nonlinear term satisfying the growth conditions and without sign conditions and the second is a continuous function on R.
Keywords: Poincaré inequality; Musielak-Orlicz-Sobolev Spaces; Unilateral problems; Measurable obstacle; Lower order term
En este artículo, demostramos la existencia de soluciones a un problema diferencial elíptico que contiene dos términos de bajo orden, donde el primer término no lineal satisface condiciones de crecimiento sin restricciones en el signo y el segundo es una función continua sobre R.
Palabras clave: desigualdad de Poincaré; espacios Musielak-Orlicz-Sobolev; problemas unilaterales; obstáculo medible; Término de orden inferior
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Received: April 17, 2020; Accepted: March 15, 2021
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