Approximate solutions of boundary value problems for the second and higer order linear PDE-s of the elliptic type in two independent variables

N. V. Ralević

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Displaying similar documents to “Approximate solutions of boundary value problems for the second and higer order linear PDE-s of the elliptic type in two independent variables”

On some elliptic boundary-value problems with discontinuous nonlinearities

Giovanni Anello (2005)

Annales Polonici Mathematici

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We establish two existence results for elliptic boundary-value problems with discontinuous nonlinearities. One of them concerns implicit elliptic equations of the form ψ(-Δu) = f(x,u). We emphasize that our assumptions permit the nonlinear term f to be discontinuous with respect to the second variable at each point.

Nonlocal Robin problem for elliptic second order equations in a plane domain with a boundary corner point

Mikhail Borsuk, Krzysztof Żyjewski (2011)

Applicationes Mathematicae

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We investigate the behavior of weak solutions to the nonlocal Robin problem for linear elliptic divergence second order equations in a neighborhood of a boundary corner point. We find an exponent of the solution's decreasing rate under minimal assumptions on the problem coefficients.

An abstract version of the resonance theorem

B. Przeradzki (1991)

Annales Polonici Mathematici

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On the Green's function for second order elliptic differential equations

B. Szafirski (1967)

Colloquium Mathematicae

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On a Superlinear Elliptic Boundary Value Problem.

Peter Hess, Bernhard Ruf (1978/79)

Mathematische Zeitschrift

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Regularity in elliptic free boundary problems. II. Equations of higher order

D. Kinderlehrer, L. Nirenberg, J. Spruck (1979)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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The first boundary problem for a degenerate elliptic system.

Devdariani, G. (2001)

Bulletin of TICMI

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Deficient Coerciveness Estimate for an Abstract Differential Equation with a Parameter Dependent Boundary Conditions

Aissa Aibeche, Angelo Favini, Chahrazed Mezoued (2007)

Bollettino dell'Unione Matematica Italiana

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In this paper we consider an abstract elliptic differential problem where the equation and the boundary conditions may contain a spectral parameter. We first prove that this problem generates an isomorphism between appropriate spaces and we establish a more precise estimate called coerciveness estimate with defect. The results obtained are applied to study some classes of elliptic, and also possibly degenerate, problems.

On the division polynomials of elliptic curves.

J. González (2000)

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales

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A difference method for a system of second order ordinary differential equations

Krystyna Szafraniec (1989)

Annales Polonici Mathematici

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On square values of quadratics

Andrew Bremner (2003)

Acta Arithmetica

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A remark about elliptic overdeterminated systems

Giuliano Bratti (1977)

Rendiconti del Seminario Matematico della Università di Padova

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The Robbins problem for elliptic equations in space

K. I. Iordanidis (1971)

Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

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Quasilinear Elliptic Equations with Small Boundary Data.

Chi-ping Lau (1985)

Manuscripta mathematica

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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.