Geodesic
Some results on strongly nonlinear anisotropic differential equations
L. Bougoffa1 ; A. El Khalil1 ; S. El Manouni1
1 Department of Mathematics Faculty of Sciences Al-Imam University P.O. Box 90950 Riyadh 11623, Saudi Arabia
Applicationes Mathematicae, Tome 37 (2010) no. 3, pp. 375-386.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

The paper concerns the existence of weak solutions to nonlinear elliptic equations of the form $A(u) + g(x, u, \nabla u) = f,$ 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 $u.$
DOI : 10.4064/am37-3-7
Keywords: paper concerns existence weak solutions nonlinear elliptic equations form nabla where operator appropriate anisotropic function space its dual right side term assume sign condition nonlinear term growth restrictions

L. Bougoffa 1 ; A. El Khalil 1 ; S. El Manouni 1

1 Department of Mathematics Faculty of Sciences Al-Imam University P.O. Box 90950 Riyadh 11623, Saudi Arabia 
@article{10_4064_am37_3_7,
     author = {L. Bougoffa and A. El Khalil and S. El Manouni},
     title = {Some results on strongly nonlinear anisotropic differential equations},
     journal = {Applicationes Mathematicae},
     pages = {375--386},
     publisher = {mathdoc},
     volume = {37},
     number = {3},
     year = {2010},
     doi = {10.4064/am37-3-7},
     zbl = {1205.35086},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/am37-3-7/}
}
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
SP  - 375
EP  - 386
VL  - 37
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/am37-3-7/
DO  - 10.4064/am37-3-7
LA  - en
ID  - 10_4064_am37_3_7
ER  - 
%0 Journal Article
%A L. Bougoffa
%A A. El Khalil
%A S. El Manouni
%T Some results on strongly nonlinear anisotropic differential equations
%J Applicationes Mathematicae
%D 2010
%P 375-386
%V 37
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/am37-3-7/
%R 10.4064/am37-3-7
%G en
%F 10_4064_am37_3_7
L. Bougoffa; A. El Khalil; S. El Manouni. Some results on strongly nonlinear anisotropic differential equations. Applicationes Mathematicae, Tome 37 (2010) no. 3, pp. 375-386. doi : 10.4064/am37-3-7. http://geodesic.mathdoc.fr/articles/10.4064/am37-3-7/

Cité par Sources :