On the boundary domains of the n-th eigenfunctions for the self-adjoined elliptic equation
Jan Bochenek (1965)
Annales Polonici Mathematici
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Displaying similar documents to “Generalized Maximum Principle for Divergence Form Elliptic Equations in Unbounded Domains”
On the boundary domains of the n-th eigenfunctions for the self-adjoined elliptic equation
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.
Elliptic and degenerate-elliptic operators in unbounded domains
D. E. Edmunds, W. D. Evans (1973)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Semilinear Elliptic Equations on Unbounded Domains.
G.R. Burton (1985)
Mathematische Zeitschrift
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Numerical verifications of solutions for elliptic equations in nonconvex polygonal domains.
Mitsuhiro T. Nakao, N. Yamamoto (1993)
Numerische Mathematik
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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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On a linear second order degenerate elliptic equation.
Devdariani, G. (2000)
Bulletin of TICMI
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The degenerate Venttsel' problem for elliptic equations.
Nazarov, A.I. (2004)
Journal of Mathematical Sciences (New York)
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Semilinear elliptic problems in unbounded domains
Aleksandra Orpel (2006)
Applicationes Mathematicae
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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.
On the Green's function for second order elliptic differential equations
B. Szafirski (1967)
Colloquium Mathematicae
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Continuity of solutions of linear, degenerate elliptic equations
Jani Onninen, Xiao Zhong (2007)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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We consider the simplest form of a second order, linear, degenerate, elliptic equation with divergence structure in the plane. Under an integrability condition on the degenerate function, we prove that the solutions are continuous.
Further qualitative properties for elliptic equations in unbounded domains
Henri Berestycki, Luis Caffarelli, Louis Nirenberg (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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