On L^infty-regularity result for some degenerate nonlinear elliptic equations
Jaouad Bennouna, Mohamed Hammoumi, Ahmed Youssfi · Annales Academiae Scientiarum Fennicae Mathematica · 2014
We prove an existence result of bounded solutions for some degenerate nonlinear elliptic equations whose prototype isin the setting of the weighted Sobolev spaces W 1,p 0 (Ω, w).By means of the relative rearrangement, we prove an L ∞ -estimate which we use to obtain an existence result.