Some results on strongly nonlinear anisotropic differential equations

L. Bougoffa, A. El Khalil, and S. El Manouni. "Some results on strongly nonlinear anisotropic differential equations." Applicationes Mathematicae 37.3 (2010): 375-386. <http://eudml.org/doc/279972>.

@article{L2010,
abstract = {The paper concerns the existence of weak solutions to nonlinear elliptic equations of the form A(u) + g(x,u,∇u) = f, where A is an operator from an appropriate anisotropic function space to its dual and the right hand side term is in $L^\{1+m\}$ with 0 < m < 1. We assume a sign condition on the nonlinear term g, but no growth restrictions on u.},
author = {L. Bougoffa, A. El Khalil, S. El Manouni},
journal = {Applicationes Mathematicae},
keywords = {strongly anisotropic equations; sign condition; weak solutions},
language = {eng},
number = {3},
pages = {375-386},
title = {Some results on strongly nonlinear anisotropic differential equations},
url = {http://eudml.org/doc/279972},
volume = {37},
year = {2010},
}

TY - JOUR
AU - L. Bougoffa
AU - A. El Khalil
AU - S. El Manouni
TI - Some results on strongly nonlinear anisotropic differential equations
JO - Applicationes Mathematicae
PY - 2010
VL - 37
IS - 3
SP - 375
EP - 386
AB - The paper concerns the existence of weak solutions to nonlinear elliptic equations of the form A(u) + g(x,u,∇u) = f, where A is an operator from an appropriate anisotropic function space to its dual and the right hand side term is in $L^{1+m}$ with 0 < m < 1. We assume a sign condition on the nonlinear term g, but no growth restrictions on u.
LA - eng
KW - strongly anisotropic equations; sign condition; weak solutions
UR - http://eudml.org/doc/279972
ER -