Semilinear elliptic problems in unbounded domains

Aleksandra Orpel

Displaying similar documents to “Semilinear elliptic problems in unbounded domains”

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

Mikhail Borsuk (1998)

Annales Polonici Mathematici

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We consider generalized solutions to the Dirichlet problem for linear elliptic second order equations in a domain bounded by a Dini-Lyapunov surface and containing a conical point. For such solutions we derive Dini estimates for the first order generalized derivatives.

On the Dirichlet problem for linear elliptic equations in plane domains with corners

A. Azzam (1983)

Annales Polonici Mathematici

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Extension of an integral inequality of C. Miranda and applications to the elliptic equations with discontinuous coefficients

Albino Canfora (1989)

Czechoslovak Mathematical Journal

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

Tiantian Qiao, Weiguo Li, Kai Liu, Boying Wu (2014)

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.