Linear elliptic operators with measurable coefficients
Neil S. Trudinger (1973)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Displaying similar documents to “An Ambrosetti-Prodi-type problem for an elliptic system of equations via monotone iteration method and Leray-Schauder degree theory.”
Linear elliptic operators with measurable coefficients
On quasilinear elliptic equations in .
Alves, C.O., Concalves, J.V., Maia, L.A. (1996)
Abstract and Applied Analysis
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On positive solutions of semilinear elliptic problems
Pavol Quittner (1989)
Commentationes Mathematicae Universitatis Carolinae
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On elliptic partial differential equations
L. Nirenberg (1959)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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An elliptic semilinear equation with source term involving boundary measures: the subcritical case.
Marie Françoise Bidaut-Véron, Laurent Vivier (2000)
Revista Matemática Iberoamericana
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We study the boundary behaviour of the nonnegative solutions of the semilinear elliptic equation in a bounded regular domain Ω of RN (N ≥ 2), ⎧ Δu + uq = 0, in Ω ⎨ ⎩ u = μ, on ∂Ω where 1 < q < (N + 1)/(N - 1) and μ is a Radon measure on ∂Ω. We give a priori estimates and existence results. The lie on the study of superharmonic functions in some weighted...
On Hölder regularity for elliptic equations of non-divergence type in the plane
Albert Baernstein II, Leonid V. Kovalev (2005)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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This paper is concerned with strong solutions of uniformly elliptic equations of non-divergence type in the plane. First, we use the notion of quasiregular gradient mappings to improve Morrey’s theorem on the Hölder continuity of gradients of solutions. Then we show that the Gilbarg-Serrin equation does not produce the optimal Hölder exponent in the considered class of equations. Finally, we propose a conjecture for the best possible exponent and prove it under an additional restriction. ...