Abstract

TALHA, Abdeslam  and  BOUH ELEMINE VALL, Mohamed Saad. Strongly nonlinear elliptic unilateral problems without sign condition and with free obstacle in Musielak-Orlicz spaces. Rev.colomb.mat. [online]. 2021, vol.55, n.1, pp.43-70.  Epub Nov 17, 2021. ISSN 0034-7426.  https://doi.org/10.15446/recolma.v55n1.99098.

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.

        · abstract in Spanish     · text in English     · English ( pdf )