Geodesic
Uniqueness of solutions for some degenerate nonlinear elliptic equations
Albo Carlos Cavalheiro1
1 Department of Mathematics State University of Londrina Londrina, PR, Brazil, 86057-970
Applicationes Mathematicae, Tome 41 (2014) no. 1, pp. 93-106.

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

We investigate the existence and uniqueness of solutions to the Dirichlet problem for a degenerate nonlinear elliptic equation $$ - \sum _{i,j=1}^nD_j(a_{ij}(x)D_iu(x)) + b(x)u(x) + \mathop {\rm div}\nolimits (\varPhi (u(x))) = g(x) - \sum _{j=1}^n f_j(x) \ \text {on} \ \varOmega $$ in the setting of the space $H_0(\varOmega )$.
DOI : 10.4064/am41-1-8
Keywords: investigate existence uniqueness solutions dirichlet problem degenerate nonlinear elliptic equation sum x mathop div nolimits varphi sum x text varomega setting space varomega

Albo Carlos Cavalheiro 1

1 Department of Mathematics State University of Londrina Londrina, PR, Brazil, 86057-970 
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Albo Carlos Cavalheiro. Uniqueness of solutions for some degenerate nonlinear elliptic equations. Applicationes Mathematicae, Tome 41 (2014) no. 1, pp. 93-106. doi : 10.4064/am41-1-8. http://geodesic.mathdoc.fr/articles/10.4064/am41-1-8/

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