| Abstrakt: |
In this paper, we investigate the existence theorem of entropy solutions for nonlinear elliptic problem of the type − div (a (x , u , ∇ u) + Φ (x , u)) + g (x , u , ∇ u) = μ in Ω, in the setting of Musielak-Orlicz spaces. The lower order term Φ verifies the natural growth condition, the nonlinearity g has a natural growth with respect to its third argument and with sign condition, no Δ 2 -condition is assumed on the Musielak function, and the datum μ is assumed to belong to L 1 (Ω) + W − 1 E φ ¯ (Ω). [ABSTRACT FROM AUTHOR] |
