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A priori inequalities in \(L^\infty (\Omega)\) for solutions of elliptic equations in unbounded domains. (English) Zbl 0949.35044

Summary: We prove some a priori inequalities in \(L^\infty(\Omega)\) for subsolutions of elliptic equations in divergence form, with Dirichlet’s boundary conditions, in unbounded domains.

MSC:

35J25 Boundary value problems for second-order elliptic equations
35B45 A priori estimates in context of PDEs
46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
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References:

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