Existence and L∞-estimates for non-uniformly elliptic equations with non-polynomial growths
Omar Benslimane, Ahmed Aberqi, Mhamed Elmassoudi · Filomat · 2023
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 ?. An L?- estimate of solutions is also obtained for an L1-datum f.