Geodesic
Existence and uniqueness of solutions for some degenerate nonlinear elliptic equations
Archivum mathematicum, Tome 50 (2014) no. 1, pp. 51-63

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In this article we are interested in the existence and uniqueness of solutions for the Dirichlet problem associated with the degenerate nonlinear elliptic equations \begin{align*}{\Delta }(v(x)\, {\vert {\Delta }u\vert }^{p-2}{\Delta }u) -\sum _{j=1}^n D_j{\bigl [}{\omega }(x) {\mathcal{A}}_j(x, u, {\nabla }u){\bigr ]}\\ =\ f_0(x) - \sum _{j=1}^nD_jf_j(x)\,, \quad \mbox {in}\quad {\Omega }\end{align*} in the setting of the weighted Sobolev spaces.
DOI : 10.5817/AM2014-1-51
Classification : 35J60, 35J70
Keywords: degenerate nolinear elliptic equations; weighted Sobolev spaces 
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Cavalheiro, Albo Carlos. Existence and uniqueness of solutions for some degenerate nonlinear elliptic equations. Archivum mathematicum, Tome 50 (2014) no. 1, pp. 51-63. doi: 10.5817/AM2014-1-51

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