Geodesic
Existence and regularity of solutions to unilateral nonlinear elliptic equation in Marcinkiewicz space with variable exponent
Filomat, Tome 37 (2023) no. 17, p. 5785

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DOI

This manuscript proves the existence and regularity of solutions with respect to the summability of second member ∈ L m(·) (Ω), to the obstacle problem associated to nonlinear elliptic equation −div A(x, v, ∇v) = in Ω, u = 0 in ∂Ω. (1) The arguments are based on the rearrangement techniques to obtain some priori estimates in Marcinkwicz spaces with variable exponents.
DOI : 10.2298/FIL2317785A
Classification : 35J87, 35R35, 49J40
Keywords: Non-linear equation, Obstacle problem, Existence, Regularity, Marcinkwincz with variable exponents, Rearrangement techniques 
Benali Aharrouch; Ahmed Aberqi; Jaouad Bennouna. Existence and regularity of solutions to unilateral nonlinear elliptic equation in Marcinkiewicz space with variable exponent. Filomat, Tome 37 (2023) no. 17, p. 5785 . doi: 10.2298/FIL2317785A
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     author = {Benali Aharrouch and Ahmed Aberqi and Jaouad Bennouna},
     title = {Existence and regularity of solutions to unilateral nonlinear elliptic equation in {Marcinkiewicz} space with variable exponent},
     journal = {Filomat},
     pages = {5785 },
     year = {2023},
     volume = {37},
     number = {17},
     doi = {10.2298/FIL2317785A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2317785A/}
}
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