Dini continuity of the first derivatives of generalized solutions to the Dirichlet problem for linear elliptic second order equations in nonsmooth domains

Mikhail Borsuk

Displaying similar documents to “Dini continuity of the first derivatives of generalized solutions to the Dirichlet problem for linear elliptic second order equations in nonsmooth domains”

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Aleksandra Orpel (2006)

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We investigate the existence of positive solutions and their continuous dependence on functional parameters for a semilinear Dirichlet problem. We discuss the case when the domain is unbounded and the nonlinearity is smooth and convex on a certain interval only.

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A. Azzam (1983)

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Generalized Maximum Principle for Divergence Form Elliptic Equations in Unbounded Domains

Maurizio Chicco (2009)

Bollettino dell'Unione Matematica Italiana

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In this note I extend some previuos results concerning a generalized maximum principle for linear second order elliptic equations in divergence form, to the case of unbounded domains.

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D. E. Edmunds, W. D. Evans (1973)

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L. Nirenberg (1988-1989)

Séminaire Équations aux dérivées partielles (Polytechnique)

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On existence of a unique generalized solution to systems of elliptic PDEs at resonance

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Annales Polonici Mathematici

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The Dirichlet boundary value problem for systems of elliptic partial differential equations at resonance is studied. The existence of a unique generalized solution is proved using a new min-max principle and a global inversion theorem.

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Chuandi Liu, Hiroaki Morimoto (2006)

Bulletin of the Polish Academy of Sciences. Mathematics

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We study the Dirichlet problem for degenerate elliptic equations, and show that the probabilistic solution is a unique viscosity solution.

Nonexistence of classical solutions of the Dirichlet problem for fully nonlinear elliptic equations

N. Kutev (1991)

Archivum Mathematicum

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