ð ¿ âˆž -Solutions for Some Nonlinear Degenerate Elliptic Equations

Albo Carlos Cavalheiro

International Journal of Differential Equations, 2011, vol. 2011, 1-17

Abstract:

We are interested in the existence of solutions for Dirichlet problem associated to the degenerate quasilinear elliptic equations − ∑ ð ‘› ð ‘— = 1 ð · ð ‘— [ 𠜔 2 ( ð ‘¥ ) ð ’œ ð ‘— ( ð ‘¥ , ð ‘¢ , ∇ ð ‘¢ ) ] + 𠜔 1 ( ð ‘¥ ) ð ‘” ( ð ‘¥ , ð ‘¢ ( ð ‘¥ ) ) + ð » ( ð ‘¥ , ð ‘¢ , ∇ ð ‘¢ ) 𠜔 2 ( ð ‘¥ ) = ð ‘“ ( ð ‘¥ ) , o n Ω in the setting of the weighted Sobolev spaces W 0 1 , ð ‘ ( Ω , 𠜔 1 , 𠜔 2 ) .

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:356356

DOI: 10.1155/2011/356356

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