EUDML | On the behaviour of solutions to the nonlinear elliptic Neumann problem in unbounded domains

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Displaying similar documents to “On the behaviour of solutions to the nonlinear elliptic Neumann problem in unbounded domains”

Energetic estimates analogous to the Saint-Venant principle and their applications

Oleinik, O. A.

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Homogenization of the Dirichlet problem for a system of quasilinear elliptic equations in a domain with fine-grained boundary

Mamadou Sango (2003)

Annales de l'I.H.P. Analyse non linéaire

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Positive solution for the elliptic problems with sublinear and superlinear nonlinearities.

Yuan, Chunmei, Guo, Shujuan, Tong, Kaiyu (2010)

Mathematical Problems in Engineering

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Hölder regularity for nonhomogeneous elliptic systems with nonlinearity greater than two

Giovanna Idone (2004)

Czechoslovak Mathematical Journal

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Regularity results for elliptic systems of second order quasilinear PDEs with nonlinear growth of order $q > 2$ are proved, extending results of [7] and [10]. In particular Hölder regularity of the solutions is obtained if the dimension $n$ is less than or equal to $q + 2$ .

The Neumann problem for some degenerate elliptic equations

Albo Carlos Cavalheiro (2006)

Applications of Mathematics

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In the paper we study the equation $L u = f$ , where $L$ is a degenerate elliptic operator, with Neumann boundary condition in a bounded open set $Ω$ . We prove existence and uniqueness of solutions in the space $H (Ω)$ for the Neumann problem.