Geodesic
Existence and L ∞ -estimates for non-uniformly elliptic equations with non-polynomial growths
Filomat, Tome 37 (2023) no. 16, p. 5509

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DOI

In the current paper, we investigate the existence and regularity of weak solutions to a class of non-uniformly elliptic equations with degenerate coercivity and non-polynomial growth. The model case is given as follows: div exp(1 + |Du|) (1 + |u|) 2 Du + M(|Du|) (1 + |u|) 2 .u = f in ω. An L ∞-estimate of solutions is also obtained for an L 1-datum f.
DOI : 10.2298/FIL2316509B
Classification : 35J62, 35J70, 35J20
Keywords: Degenerate coercivity, Weak solution, Existence, Bounded solution, Elliptic Equations, Orlicz spaces, ∆2-condition 
Omar Benslimane; Ahmed Aberqi; Mhamed Elmassoudi. Existence and L ∞ -estimates for non-uniformly elliptic equations with non-polynomial growths. Filomat, Tome 37 (2023) no. 16, p. 5509 . doi: 10.2298/FIL2316509B
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     author = {Omar Benslimane and Ahmed Aberqi and Mhamed Elmassoudi},
     title = {Existence and {L} \ensuremath{\infty} -estimates for non-uniformly elliptic equations with non-polynomial growths},
     journal = {Filomat},
     pages = {5509 },
     year = {2023},
     volume = {37},
     number = {16},
     doi = {10.2298/FIL2316509B},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2316509B/}
}
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