Quasilinear elliptic problems with general growth and merely integrable, or measure, data

By Andrea Cianchi, Vladimir G. Maz'ya. 2017

61 citations recorded by the source corpus.

Boundary value problems for a class of quasilinear elliptic equations, with an Orlicz type growth and L^1 right-hand side are considered. Both Dirichlet and Neumann problems are contemplated. Existence and uniqueness of generalized solutions, as well as their regularity, are established. The case of measure right-hand sides is also analyzed.

View Paper: https://www.semanticscholar.org/paper/314d454065323100aa309342145ea8ea8aa430d1

Citations in the corpus

• A pocket guide to nonlinear differential equations in Musielak–Orlicz spaces (2018, background): “[60], which is enough to control the structure of the space.”