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Existence of solutions for Navier problems with degenerate nonlinear elliptic equations
Communications in Mathematics, Tome 23 (2015) no. 1, pp. 33-45 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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In this paper we are interested in the existence and uniqueness of solutions for the Navier problem associated to the degenerate nonlinear elliptic equations \begin {equation*} \Delta (v(x)\,\vert \Delta u\vert ^{q-2}\Delta u) -\sum _{j=1}^n D_j\bigl [\omega (x) {\cal A}_j(x, u, {\nabla }u)\bigr ] = f_0(x) - \sum _{j=1}^nD_jf_j(x), \text { in }\Omega \end {equation*} in the setting of the weighted Sobolev spaces.
In this paper we are interested in the existence and uniqueness of solutions for the Navier problem associated to the degenerate nonlinear elliptic equations \begin {equation*} \Delta (v(x)\,\vert \Delta u\vert ^{q-2}\Delta u) -\sum _{j=1}^n D_j\bigl [\omega (x) {\cal A}_j(x, u, {\nabla }u)\bigr ] = f_0(x) - \sum _{j=1}^nD_jf_j(x), \text { in }\Omega \end {equation*} in the setting of the weighted Sobolev spaces.
Classification : 35J60, 35J70
Keywords: degenerate nolinear elliptic equations; weighted Sobolev spaces; Navier problem 
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Cavalheiro, Albo Carlos. Existence of solutions for Navier problems with degenerate nonlinear elliptic equations. Communications in Mathematics, Tome 23 (2015) no. 1, pp. 33-45. http://geodesic.mathdoc.fr/item/COMIM_2015_23_1_a2/

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