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.
Quasilinear elliptic problems with general growth and merely integrable, or measure, data / Cianchi, Andrea; Maz'Ya, Vladimir. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - STAMPA. - 164:(2017), pp. 189-215. [10.1016/j.na.2017.08.007]
Quasilinear elliptic problems with general growth and merely integrable, or measure, data
CIANCHI, ANDREA;
2017
Abstract
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.
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