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Existence and uniqueness of solutions for a class of degenerate nonlinear elliptic equations

Albo Carlos Cavalheiro — 2016

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

In this work we are interested in the existence and uniqueness of solutions for the Navier problem associated to the degenerate nonlinear elliptic equations Δ ( v ( x ) | Δ u | p - 2 Δ u ) - j = 1 n D j [ ω 1 ( x ) 𝒜 j ( x , u , u ) ] + b ( x , u , u ) ω 2 ( x ) = f 0 ( x ) - j = 1 n D j f j ( x ) , in Ω in the setting of the weighted Sobolev spaces.

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