Geodesic
An approximation theorem for solutions of degenerate semilinear elliptic equations
Communications in Mathematics, Tome 25 (2017) no. 1, pp. 21-34

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The main result establishes that a weak solution of degenerate semilinear elliptic equations can be approximated by a sequence of solutions for non-degenerate semilinear elliptic equations.
Classification : 35D30, 35J61, 35J70
Keywords: Degenerate semilinear elliptic equations; weighted Sobolev Spaces. 
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Cavalheiro, Albo Carlos. An approximation theorem for solutions of degenerate semilinear elliptic equations. Communications in Mathematics, Tome 25 (2017) no. 1, pp. 21-34. http://geodesic.mathdoc.fr/item/COMIM_2017__25_1_a3/