Some results on strongly nonlinear anisotropic differential equations
L. Bougoffa ; A. El Khalil ; S. El Manouni
Applicationes Mathematicae, Tome 37 (2010), p. 375-386 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

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 L1+m with 0 < m < 1. We assume a sign condition on the nonlinear term g, but no growth restrictions on u.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:279972 
@article{bwmeta1.element.bwnjournal-article-doi-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},
     volume = {37},
     year = {2010},
     pages = {375-386},
     zbl = {1205.35086},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-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) pp. 375-386. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am37-3-7/