Research Communication | Open Access
Volume 2021 | Communication ID 34
Volume 2021 | Communication ID 34
| The Existence of entropy solutions to unilateral Orlicz Anisotropic Equations in an Unbounded Domain |
Omar Benslimane, Ahmed Aberqi, Jaouad Bennouna
Received |
Accepted |
Published |
January 19, 2021 |
January 31, 2021 |
March 15, 2021 |
Abstract: In this talk, we investigate the existence of the following class of nonlinear unilateral anisotropic elliptic problem ( P ){(A( u )+ ∑_(i=1)^N▒〖b_i ( x,u,∇u )=f 〗 in Ω,@u ≥ ψ a.e in Ω,)┤ Where Ω be an arbitrary domain, A( u )= ∑_(i=1)^N▒〖( a_i ( x,u,∇u ) )〗_(x_i ) is a leray-lions operator defined on W_B^0,1 ( Ω) ( defined as the adherence space of C_0^∞ ( Ω ) ) into its dual. B( t )=(B_1 ( t ),…,B_N ( t )) are N-uplet Orlicz functions that satisfy ∆2-condition. The obstacle ψ is a ...