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

• 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. (C) 2017 Published by Elsevier Ltd.

Subject headings

NATURVETENSKAP  -- Matematik -- Matematisk analys (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Mathematical Analysis (hsv//eng)

Keyword

Quasilinear elliptic equations; General growth; Orlicz spaces; L-1-data; Approximable solutions; Dirichlet problems; Neumann problems

Publication and Content Type

ref (subject category)

art (subject category)