Regularity theory for a class of quasilinear equations
Luís H. de Miranda, Marcelo A. Montenegro · Mathematische Nachrichten · 2014
This paper addresses the analysis of the weak solution of in a bounded domain Ω subject to the boundary condition on , when the data f belongs to and . We prove existence and uniqueness of solution for this problem in the Nikolskii space . Moreover, we obtain energy estimates regarding the Nikolskii norm of ω in terms of the norm of f.