On Solvability of a Nonlinear Elliptic Boundary Value Problem
I.G. Stratis (1993)
Publications de l'Institut Mathématique
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Displaying similar documents to “An abstract version of the resonance theorem”
On Solvability of a Nonlinear Elliptic Boundary Value Problem
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.
A difference method for a system of second order ordinary differential equations
Krystyna Szafraniec (1989)
Annales Polonici Mathematici
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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.
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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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.
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.
A nonlinear elliptic boundary value problem
Martin Schechter (1973)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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