Geodesic
Some results on strongly nonlinear anisotropic differential equations
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
Applicationes Mathematicae, Tome 37 (2010) no. 3, pp. 375-386 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 
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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

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