Uniqueness of solutions for some degenerate nonlinear elliptic equations

Albo Carlos Cavalheiro

Applicationes Mathematicae, Tome 41 (2014), p. 93-106 / Harvested from The Polish Digital Mathematics Library

Résumé

We investigate the existence and uniqueness of solutions to the Dirichlet problem for a degenerate nonlinear elliptic equation $- \sum_{i, j = 1}^{n} D_{j} (a_{i j} (x) D_{i} u (x)) + b (x) u (x) + d i v (Φ (u (x))) = g (x) - \sum_{j = 1}^{n} f_{j} (x)$ on Ω in the setting of the space H₀(Ω).

Publié le : 2014-01-01

Zbl 1316.35131

EUDML-ID : urn:eudml:doc:279988

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     title = {Uniqueness of solutions for some degenerate nonlinear elliptic equations},
     journal = {Applicationes Mathematicae},
     volume = {41},
     year = {2014},
     pages = {93-106},
     zbl = {1316.35131},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am41-1-8}
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Albo Carlos Cavalheiro. Uniqueness of solutions for some degenerate nonlinear elliptic equations. Applicationes Mathematicae, Tome 41 (2014) pp. 93-106. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am41-1-8/