Existence of Solutions for Quasilinear Degenerate Elliptic Equations
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In this paper, we study the existence of solutions for quasilinear degenerate elliptic equations of the form A(u) + g(x, u, ∇u) = h where A is a Leray-Lions operator from W1,p0 (Ω, w) to its dual. On the nonlinear term g(x, s, ξ), we assume growth conditions on ξ, not on s, and a sign condition on s.
CitationAkdim, Y., Azroul, E., & Benkirane, A. (2001). Existence of solutions for quasilinear degenerate elliptic equations. Electronic Journal of Differential Equations, 2001(71), pp. 1-19.
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