On a maximum principle for elliptic systems with constant coefficients

We introduce a sort of "local" Morrey spaces and show an existence and uniqueness theorem for the Dirichlet problem in unbounded domains for linear second order elliptic partial differential equations with principal coefficients "close" to functions having derivatives in such spaces.

On the exterior Dirichlet problem for $Δ u - u + f (x, u) = 0$

Giovanna Citti (1992)

Rendiconti del Seminario Matematico della Università di Padova

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A priori inequalities in $L^{\infty} (Ω)$ for solutions of elliptic equations in unbounded domains

Maurizio Chicco, Marina Venturino (1999)

Rendiconti del Seminario Matematico della Università di Padova

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Partial Hölder continuity of the spatial derivatives of the solutions to nonlinear parabolic systems with quadratic growth

Mario Marino, Antonino Maugeri (1986)

Rendiconti del Seminario Matematico della Università di Padova

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