- Journal Article
We prove Lipschitz continuity results for solutions to a class of obstacle problems under standard growth conditions of p-type, p >= 2. The main novelty is the use of a linearization technique going back to  in order to interpret our constrained minimizer as a solution to a nonlinear elliptic equation, with a bounded right hand side. This lead us to start a Moser iteration scheme which provides the L-infinity bound for the gradient. The application of a recent higher di<currency>erentiability result  allows us to simplify the procedure of the identification of the Radon measure in the linearization technique employed in . To our knowdledge, this is the first result for nonautomonous functionals with standard growth conditions in the direction of the Lipschitz regularity. Show more
Journal / seriesAtti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e applicazioni
Pages / Article No.
PublisherEuropean Mathematical Society Publishing House
SubjectRegularity of solutions; Obstacle problems; A priori estimates
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