Geodesic
Uniqueness of solutions for some degenerate nonlinear elliptic equations
Albo Carlos Cavalheiro1
1Department 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

Zbl
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 
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
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