Nonlinear anisotropic elliptic and parabolic equations with variable exponents and L1 data
Langue
en
Article de revue
Ce document a été publié dans
Communications on Pure and Applied Analysis. 2013, vol. 12, n° 3, p. 1201 - 1220
AIMS American Institute of Mathematical Sciences
Résumé en anglais
We prove existence and regularity results for distributional solutions of nonlinear elliptic and parabolic equations with general anisotropic diffusivities with variable exponents. The data are assumed to be merely integrable.
Mots clés
L1 data
Mots clés en italien
Elliptic equation
parabolic equation
anisotropic diffusion
variable exponents
weak solutions
L1 data.