Solvability of nonlinear Dirichlet problem for a class of degenerate elliptic equations

Albo Carlos Cavalheiro

Abstract and Applied Analysis, 2004, vol. 2004, 1-10

Abstract:

We prove an existence result for solution to a class of nonlinear degenerate elliptic equation associated with a class of partial differential operators of the form L u ( x ) = ∑ i , j = 1 n D j ( a i j ( x ) D i u ( x ) ) , with D j = ∂ / ∂ x j , where a i j : Ω → ℝ are functionssatisfying suitable hypotheses.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:452637

DOI: 10.1155/S1085337504310043

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