Fatou theorems for some nonlinear elliptic equations.
Eugene Fabes, Nicola Garofalo, Santiago Marin Malave, Sandro Salsa (1988)
Revista Matemática Iberoamericana
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Displaying similar documents to “Degenerate elliptic equations with measure data and nonlinear potentials”
Fatou theorems for some nonlinear elliptic equations.
Problems involving -Laplacian type equations and measures
Kilpeläinen, Tero
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The Wiener test for degenerate elliptic equations
E. B. Fabes, D. S. Jerison, C. E. Kenig (1982)
Annales de l'institut Fourier
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We consider degenerated elliptic equations of the form Under suitable assumptions on , we obtain a characterization of Wiener type (involving weighted capacities) for the set of regular points for these operators. The set of regular points is shown to depend only on . The main tool we use is an estimate for the Green function in terms of .
Regular points for elliptic equations with discontinuous coefficients
W. Littman, G. Stampacchia, H. F. Weinberger (1963)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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On the uniqueness problem for quasilinear elliptic equations involving measures.
Tero Kilpeläinen, Xiangsheng Xu (1996)
Revista Matemática Iberoamericana
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We discuss the uniqueness of solutions to problems like ⎧ λ |u|s-1u - div (|∇u|p-2∇u) = μ on Ω, ⎨ ⎩ u = 0 in ∂Ω, where λ ≥ 0 and μ is a signed Radon measure.